Spectral theory of linear operators and spectral systems in Banach algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2007
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Operator theory
139 |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | VIII, 439 S. |
| ISBN: | 3764382643 9783764382643 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV022862125 | ||
| 003 | DE-604 | ||
| 005 | 20120308 | ||
| 007 | t | ||
| 008 | 071002s2007 |||| 00||| eng d | ||
| 015 | |a 06,N50,0613 |2 dnb | ||
| 016 | 7 | |a 981960766 |2 DE-101 | |
| 020 | |a 3764382643 |c Gb. : EUR 138.03 (freier Pr.), sfr 219.00 |9 3-7643-8264-3 | ||
| 020 | |a 9783764382643 |c Gb. : EUR 138.03 (freier Pr.), sfr 219.00 |9 978-3-7643-8264-3 | ||
| 024 | 3 | |a 9783764382643 | |
| 028 | 5 | 2 | |a 11917939 |
| 035 | |a (OCoLC)173091217 | ||
| 035 | |a (DE-599)BVBBV022862125 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-355 |a DE-824 |a DE-188 | ||
| 050 | 0 | |a QA329 | |
| 082 | 0 | |a 515.724 |2 22/ger | |
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 084 | |a MAT 470f |2 stub | ||
| 084 | |a MAT 458f |2 stub | ||
| 084 | |a 510 |2 sdnb | ||
| 100 | 1 | |a Müller, Vladimír |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Spectral theory of linear operators and spectral systems in Banach algebras |c Vladimir Müller |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2007 | |
| 300 | |a VIII, 439 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Operator theory |v 139 | |
| 650 | 4 | |a Banach algebras | |
| 650 | 4 | |a Operator theory | |
| 650 | 0 | 7 | |a Spektraltheorie |0 (DE-588)4116561-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Linearer Operator |0 (DE-588)4167721-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Banach-Algebra |0 (DE-588)4193187-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Spektraltheorie |0 (DE-588)4116561-5 |D s |
| 689 | 0 | 1 | |a Linearer Operator |0 (DE-588)4167721-3 |D s |
| 689 | 0 | 2 | |a Banach-Algebra |0 (DE-588)4193187-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-3-7643-8265-0 |
| 830 | 0 | |a Operator theory |v 139 |w (DE-604)BV000000970 |9 139 | |
| 856 | 4 | 2 | |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=2875481&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016067342&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-016067342 | |
Datensatz im Suchindex
| _version_ | 1805089459414237184 |
|---|---|
| adam_text |
Contents
Preface
.
vii
Preface
to the Second Edition
. ix
I Banach Algebras
1
Basic Concepts
. 1
2
Commutative Banach algebras
. 18
3
Approximate point spectrum in commutative Banach algebras
. 26
4
Permanently singular elements and removability of spectrum
. 34
5
Non-removable ideals
. 42
6
Axiomatic theory of spectrum
. 51
7
Spectral systems
. 58
8
Basic spectral systems in Banach algebras
. 68
Comments on Chapter I
. 72
II Operators
9
Spectrum of operators
. 85
10
Operators with closed range
. 97
11
Factorization of vector-valued functions
. 106
12
Kato
operators
. 117
13
General inverses and Saphar operators
. 130
14
Local spectrum
. 135
Comments on Chapter II
. 143
III Essential Spectrum
15
Compact operators
. 149
16
Fredholm
and semi-Fredholm operators
. 155
17
Construction of Sadovskii/Buoni,
Harte, Wickstead. 164
18
Perturbation properties of
Fredholm
and semi-Fredholm operators
. 169
19
Essential spectra
. 172
20
Ascent, descent and Browder operators
. 178
vi
Contents
21
Essentially
Kato
operators
. 187
22
Classes of operators defined by means of kernels and ranges
. 197
23
Semiregularities and miscellaneous spectra
. 211
24
Measures of non-compactness and other operator quantities
. 220
Comments on Chapter III
. 228
IV Taylor Spectrum
25
Basic properties
. 237
26
Split spectrum
. 245
27
Some non-linear results
. 252
28
Taylor functional calculus for the split spectrum
. 260
29
Local spectrum for
η
-tuples of operators
. 266
30
Taylor functional calculus
. 271
31
Taylor functional calculus in Banach algebras
. 283
32
fc-regular functions
. 285
33
Stability of index of complexes
. 293
34
Essential Taylor spectrum
. 299
Comments on Chapter IV
. 305
V Orbits and Capacity
35
Joint spectral radius
. 311
36
Capacity
. 321
37
Invariant subset problem and large orbits
. 327
38
Hypercyclic vectors
. 341
39
Weak orbits
. 348
40
Scott Brown technique
. 359
41
Kaplansky's type theorems
. 375
42
Polynomial orbits and local capacity
. 378
Comments on Chapter V
. 387
Appendix
. 393
A.
1
Banach spaces
. 393
A.
2
Analytic vector-valued functions
. 398
A.3 C°°-functions
. 401
A.
4
Semicontinuous set-valued functions
. 403
A.
5
Some geometric properties of Banach spaces
. 404
A.
6
Basic properties of H°°
. 405
Bibliography
. 407
Index
. 429
List of Symbols
. 437 |
| adam_txt |
Contents
Preface
.
vii
Preface
to the Second Edition
. ix
I Banach Algebras
1
Basic Concepts
. 1
2
Commutative Banach algebras
. 18
3
Approximate point spectrum in commutative Banach algebras
. 26
4
Permanently singular elements and removability of spectrum
. 34
5
Non-removable ideals
. 42
6
Axiomatic theory of spectrum
. 51
7
Spectral systems
. 58
8
Basic spectral systems in Banach algebras
. 68
Comments on Chapter I
. 72
II Operators
9
Spectrum of operators
. 85
10
Operators with closed range
. 97
11
Factorization of vector-valued functions
. 106
12
Kato
operators
. 117
13
General inverses and Saphar operators
. 130
14
Local spectrum
. 135
Comments on Chapter II
. 143
III Essential Spectrum
15
Compact operators
. 149
16
Fredholm
and semi-Fredholm operators
. 155
17
Construction of Sadovskii/Buoni,
Harte, Wickstead. 164
18
Perturbation properties of
Fredholm
and semi-Fredholm operators
. 169
19
Essential spectra
. 172
20
Ascent, descent and Browder operators
. 178
vi
Contents
21
Essentially
Kato
operators
. 187
22
Classes of operators defined by means of kernels and ranges
. 197
23
Semiregularities and miscellaneous spectra
. 211
24
Measures of non-compactness and other operator quantities
. 220
Comments on Chapter III
. 228
IV Taylor Spectrum
25
Basic properties
. 237
26
Split spectrum
. 245
27
Some non-linear results
. 252
28
Taylor functional calculus for the split spectrum
. 260
29
Local spectrum for
η
-tuples of operators
. 266
30
Taylor functional calculus
. 271
31
Taylor functional calculus in Banach algebras
. 283
32
fc-regular functions
. 285
33
Stability of index of complexes
. 293
34
Essential Taylor spectrum
. 299
Comments on Chapter IV
. 305
V Orbits and Capacity
35
Joint spectral radius
. 311
36
Capacity
. 321
37
Invariant subset problem and large orbits
. 327
38
Hypercyclic vectors
. 341
39
Weak orbits
. 348
40
Scott Brown technique
. 359
41
Kaplansky's type theorems
. 375
42
Polynomial orbits and local capacity
. 378
Comments on Chapter V
. 387
Appendix
. 393
A.
1
Banach spaces
. 393
A.
2
Analytic vector-valued functions
. 398
A.3 C°°-functions
. 401
A.
4
Semicontinuous set-valued functions
. 403
A.
5
Some geometric properties of Banach spaces
. 404
A.
6
Basic properties of H°°
. 405
Bibliography
. 407
Index
. 429
List of Symbols
. 437 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Müller, Vladimír |
| author_facet | Müller, Vladimír |
| author_role | aut |
| author_sort | Müller, Vladimír |
| author_variant | v m vm |
| building | Verbundindex |
| bvnumber | BV022862125 |
| callnumber-first | Q - Science |
| callnumber-label | QA329 |
| callnumber-raw | QA329 |
| callnumber-search | QA329 |
| callnumber-sort | QA 3329 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 620 |
| classification_tum | MAT 470f MAT 458f |
| ctrlnum | (OCoLC)173091217 (DE-599)BVBBV022862125 |
| dewey-full | 515.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.724 |
| dewey-search | 515.724 |
| dewey-sort | 3515.724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 2. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV022862125</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120308</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">071002s2007 |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">06,N50,0613</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">981960766</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3764382643</subfield><subfield code="c">Gb. : EUR 138.03 (freier Pr.), sfr 219.00</subfield><subfield code="9">3-7643-8264-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783764382643</subfield><subfield code="c">Gb. : EUR 138.03 (freier Pr.), sfr 219.00</subfield><subfield code="9">978-3-7643-8264-3</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783764382643</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">11917939</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)173091217</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV022862125</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA329</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.724</subfield><subfield code="2">22/ger</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 470f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 458f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">510</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Müller, Vladimír</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Spectral theory of linear operators and spectral systems in Banach algebras</subfield><subfield code="c">Vladimir Müller</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">2007</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 439 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Operator theory</subfield><subfield code="v">139</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Banach algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Operator theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Linearer Operator</subfield><subfield code="0">(DE-588)4167721-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Banach-Algebra</subfield><subfield code="0">(DE-588)4193187-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Linearer Operator</subfield><subfield code="0">(DE-588)4167721-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Banach-Algebra</subfield><subfield code="0">(DE-588)4193187-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe</subfield><subfield code="z">978-3-7643-8265-0</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Operator theory</subfield><subfield code="v">139</subfield><subfield code="w">(DE-604)BV000000970</subfield><subfield code="9">139</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="q">text/html</subfield><subfield code="u">http://deposit.dnb.de/cgi-bin/dokserv?id=2875481&prov=M&dok_var=1&dok_ext=htm</subfield><subfield code="3">Inhaltstext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016067342&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-016067342</subfield></datafield></record></collection> |
| id | DE-604.BV022862125 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T18:43:59Z |
| indexdate | 2024-07-20T09:24:16Z |
| institution | BVB |
| isbn | 3764382643 9783764382643 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016067342 |
| oclc_num | 173091217 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-188 |
| physical | VIII, 439 S. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Müller, Vladimír Verfasser aut Spectral theory of linear operators and spectral systems in Banach algebras Vladimir Müller 2. ed. Basel [u.a.] Birkhäuser 2007 VIII, 439 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 139 Banach algebras Operator theory Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Banach-Algebra (DE-588)4193187-7 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 s Linearer Operator (DE-588)4167721-3 s Banach-Algebra (DE-588)4193187-7 s DE-604 Erscheint auch als Online-Ausgabe 978-3-7643-8265-0 Operator theory 139 (DE-604)BV000000970 139 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2875481&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016067342&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Müller, Vladimír Spectral theory of linear operators and spectral systems in Banach algebras Operator theory Banach algebras Operator theory Spektraltheorie (DE-588)4116561-5 gnd Linearer Operator (DE-588)4167721-3 gnd Banach-Algebra (DE-588)4193187-7 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)4167721-3 (DE-588)4193187-7 |
| title | Spectral theory of linear operators and spectral systems in Banach algebras |
| title_auth | Spectral theory of linear operators and spectral systems in Banach algebras |
| title_exact_search | Spectral theory of linear operators and spectral systems in Banach algebras |
| title_exact_search_txtP | Spectral theory of linear operators and spectral systems in Banach algebras |
| title_full | Spectral theory of linear operators and spectral systems in Banach algebras Vladimir Müller |
| title_fullStr | Spectral theory of linear operators and spectral systems in Banach algebras Vladimir Müller |
| title_full_unstemmed | Spectral theory of linear operators and spectral systems in Banach algebras Vladimir Müller |
| title_short | Spectral theory of linear operators and spectral systems in Banach algebras |
| title_sort | spectral theory of linear operators and spectral systems in banach algebras |
| topic | Banach algebras Operator theory Spektraltheorie (DE-588)4116561-5 gnd Linearer Operator (DE-588)4167721-3 gnd Banach-Algebra (DE-588)4193187-7 gnd |
| topic_facet | Banach algebras Operator theory Spektraltheorie Linearer Operator Banach-Algebra |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=2875481&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016067342&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
| work_keys_str_mv | AT mullervladimir spectraltheoryoflinearoperatorsandspectralsystemsinbanachalgebras |