The asymptotic behaviour of semigroups of linear operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Basel [u.a.]
Birkhäuser
2011
|
| Edition: | [softcover repr. of the hardcover 1. ed. 1996] |
| Series: | Operator theory
88 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 236 S. |
| ISBN: | 9783034899444 |
Staff View
MARC
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| 100 | 1 | |a Neerven, Jan van |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The asymptotic behaviour of semigroups of linear operators |c Jan van Neerven |
| 250 | |a [softcover repr. of the hardcover 1. ed. 1996] | ||
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2011 | |
| 300 | |a XII, 236 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Operator theory |v 88 | |
| 650 | 7 | |a Asymptotisch gedrag |2 gtt | |
| 650 | 7 | |a Equations d'évolution |2 ram | |
| 650 | 7 | |a Lineaire operatoren |2 gtt | |
| 650 | 7 | |a Operadores (teoria) |2 larpcal | |
| 650 | 4 | |a Opérateurs linéaires | |
| 650 | 7 | |a Opérateurs linéaires |2 ram | |
| 650 | 4 | |a Semi-groupes d'opérateurs | |
| 650 | 7 | |a Semigroepen |2 gtt | |
| 650 | 7 | |a Semigroupes d'opérateurs |2 ram | |
| 650 | 7 | |a Semigrupos |2 larpcal | |
| 650 | 4 | |a Équations d'évolution | |
| 650 | 4 | |a Evolution equations | |
| 650 | 4 | |a Linear operators | |
| 650 | 4 | |a Semigroups of operators | |
| 650 | 0 | 7 | |a Halbgruppe |0 (DE-588)4022990-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Asymptotische Darstellung |0 (DE-588)4003339-9 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Linearer Operator |0 (DE-588)4167721-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Banach-Raum |0 (DE-588)4004402-6 |D s |
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| 830 | 0 | |a Operator theory |v 88 |w (DE-604)BV000000970 |9 88 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-027763793 | ||
Record in the Search Index
| _version_ | 1804152929581531136 |
|---|---|
| adam_text | Contents
Chapter
1.
Spectral bound and growth bound
...........1
1.1.
Co—semigroups and the abstract Cauchy problem
......2
1.2.
The spectral bound and growth bound of a semigroup
.....8
1.3.
The Laplace transform and its complex inversion
......15
1.4. Positive
semigroups
...................19
Notes
...........................23
Chapter
2.
Spectral mapping theorems
.............25
2.1.
The spectral mapping theorem for the point spectrum
. . , , 26
2.2.
The spectral mapping theorems of Gremer and Gearhart
, . 31
2.3.
Eventually uniformly continuouG semigroups
,.,..... 35
2.4.
Groups of non-quasianalytic growth
............ 4.2
2.5.
Latushkin
-
Montgomery-Smith theory
.......... 64
Notes
.......................... . 70
Chapter
3.
Uniform exponential stability
............73
3.1.
The theorem of Datko and Pazy
............. 74
3.2.
The theorem of Rolewicz
................ 81
3.3.
Characterization by convolutions
............. 83
3.4.
Characterization by almost periodic functions
....... 90
3.5.
Positive semigroups on Lp-spaces
............. 95
3.6.
The essential spectrum
................. 107
Notes
...........................
Ill
Chapter
4.
Boundedness of the resolvent
............113
4.1.
The convexity theorem of
Weis
and
Wróbel
....... .114
4.2.
Stability and. boundedness of the resolvent
......... 115
4.3.
individual stability in
β
-convex Banach spaces
....... 121
4.4.
Individual stability in spaces with the analytic RNP
. . . ,128
4.5.
Individual stability in arbitrary Banach spaces
...... . 132
4.6.
Scalarly
integrable
semigroups
. ... ,........ . 137
Notes
........................... 14Ö
Chapter
!»<,
Countahility of
Lhe
unitary spectrum
......... 149
5.1.
The stability theorem of
Arendt,
Batty, Lyubich, and
Vii
, . 149
5.2.
The
Katznelson-
-Tzafriri theorem
.............163
xii Contents
5.3.
The unbounded case
..................168
5.4.
Sets of spectral synthesis
................175
5.5.
A quantitative stability theorem
.............179
5.6.
A Tauberian theorem for the Laplace transform
......188
5.7.
The splitting theorem of Glicksberg and DeLeeuw
.....199
Notes
...........................209
Appendix
Al.
Fractional powers
....................215
A2. Interpolation theory
..................216
A3.
Banach lattices
.....................219
A4.
Banach function spaces
.................221
References
..........................225
Index
............................235
Symbols
...........................237
|
| any_adam_object | 1 |
| author | Neerven, Jan van |
| author_facet | Neerven, Jan van |
| author_role | aut |
| author_sort | Neerven, Jan van |
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| classification_tum | MAT 472f |
| ctrlnum | (OCoLC)904252016 (DE-599)BVBBV042326959 |
| dewey-full | 515/.7246 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7246 |
| dewey-search | 515/.7246 |
| dewey-sort | 3515 47246 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | [softcover repr. of the hardcover 1. ed. 1996] |
| format | Book |
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| id | DE-604.BV042326959 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:31Z |
| institution | BVB |
| isbn | 9783034899444 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027763793 |
| oclc_num | 904252016 |
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| owner | DE-739 |
| owner_facet | DE-739 |
| physical | XII, 236 S. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Neerven, Jan van Verfasser aut The asymptotic behaviour of semigroups of linear operators Jan van Neerven [softcover repr. of the hardcover 1. ed. 1996] Basel [u.a.] Birkhäuser 2011 XII, 236 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 88 Asymptotisch gedrag gtt Equations d'évolution ram Lineaire operatoren gtt Operadores (teoria) larpcal Opérateurs linéaires Opérateurs linéaires ram Semi-groupes d'opérateurs Semigroepen gtt Semigroupes d'opérateurs ram Semigrupos larpcal Équations d'évolution Evolution equations Linear operators Semigroups of operators Halbgruppe (DE-588)4022990-7 gnd rswk-swf Asymptotische Darstellung (DE-588)4003339-9 gnd rswk-swf Banach-Raum (DE-588)4004402-6 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Banach-Raum (DE-588)4004402-6 s Linearer Operator (DE-588)4167721-3 s Halbgruppe (DE-588)4022990-7 s Asymptotische Darstellung (DE-588)4003339-9 s DE-604 Operator theory 88 (DE-604)BV000000970 88 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Neerven, Jan van The asymptotic behaviour of semigroups of linear operators Operator theory Asymptotisch gedrag gtt Equations d'évolution ram Lineaire operatoren gtt Operadores (teoria) larpcal Opérateurs linéaires Opérateurs linéaires ram Semi-groupes d'opérateurs Semigroepen gtt Semigroupes d'opérateurs ram Semigrupos larpcal Équations d'évolution Evolution equations Linear operators Semigroups of operators Halbgruppe (DE-588)4022990-7 gnd Asymptotische Darstellung (DE-588)4003339-9 gnd Banach-Raum (DE-588)4004402-6 gnd Linearer Operator (DE-588)4167721-3 gnd |
| subject_GND | (DE-588)4022990-7 (DE-588)4003339-9 (DE-588)4004402-6 (DE-588)4167721-3 |
| title | The asymptotic behaviour of semigroups of linear operators |
| title_auth | The asymptotic behaviour of semigroups of linear operators |
| title_exact_search | The asymptotic behaviour of semigroups of linear operators |
| title_full | The asymptotic behaviour of semigroups of linear operators Jan van Neerven |
| title_fullStr | The asymptotic behaviour of semigroups of linear operators Jan van Neerven |
| title_full_unstemmed | The asymptotic behaviour of semigroups of linear operators Jan van Neerven |
| title_short | The asymptotic behaviour of semigroups of linear operators |
| title_sort | the asymptotic behaviour of semigroups of linear operators |
| topic | Asymptotisch gedrag gtt Equations d'évolution ram Lineaire operatoren gtt Operadores (teoria) larpcal Opérateurs linéaires Opérateurs linéaires ram Semi-groupes d'opérateurs Semigroepen gtt Semigroupes d'opérateurs ram Semigrupos larpcal Équations d'évolution Evolution equations Linear operators Semigroups of operators Halbgruppe (DE-588)4022990-7 gnd Asymptotische Darstellung (DE-588)4003339-9 gnd Banach-Raum (DE-588)4004402-6 gnd Linearer Operator (DE-588)4167721-3 gnd |
| topic_facet | Asymptotisch gedrag Equations d'évolution Lineaire operatoren Operadores (teoria) Opérateurs linéaires Semi-groupes d'opérateurs Semigroepen Semigroupes d'opérateurs Semigrupos Équations d'évolution Evolution equations Linear operators Semigroups of operators Halbgruppe Asymptotische Darstellung Banach-Raum Linearer Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763793&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
| work_keys_str_mv | AT neervenjanvan theasymptoticbehaviourofsemigroupsoflinearoperators |