Theory of generalized spectral operators:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Gordon & Breach
1968
|
| Schriftenreihe: | Mathematics and its applications
9 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 232 S. |
Internformat
MARC
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| 245 | 1 | 0 | |a Theory of generalized spectral operators |c Ion Colojoarǎ and Ciprian Foiaş |
| 264 | 1 | |a New York [u.a.] |b Gordon & Breach |c 1968 | |
| 300 | |a XVI, 232 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications |v 9 | |
| 650 | 4 | |a Spectres, Théorie des | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
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Datensatz im Suchindex
| _version_ | 1804120459488264192 |
|---|---|
| adam_text | Contents
Introduction ix
Appendix to the Introduction xvi
Chapter 1. Preliminaries
1. Operators with the Single valued Extension Property 1
2. Quasinilpotent Equivalent Operators 10
3. Spectral Maximal Spaces 18
Notes and Remarks 27
Chapter 2. Decomposable Operators
1. The Structure of Spectral Maximal Spaces of Decomposable
Operators 30
2. Quasinilpotent Equivalence of Decomposable Operators 40
3. The Commutator of Two Decomposable Operators 47
4. Quasisimilarity of Decomposable Operators 53
Notes and Remarks 57
Chapter 3. 91 Spectral Operators
1. Admissible Algebras of Functions and 9I spectral Functions ... 59
2. The Algebra Generated by an 3l spectral Function 68
3. ^ decomposable and 3I spectral Operators. Elementary Proper¬
ties 76
4. Nests of Ultrainvariant Spaces of ^ decomposable Operators.. 81
5. Continuous 2I spectral Functions 90
Notes and Remarks 92
vii
viii theory of generalized spectral operators
Chapter 4. Generalized Scalar and Spectral
Operators
1. The Uniqueness of the Spectral Distributions of the Genera¬
lized Scalar Operators 94
2. A Theorem of Uniqueness of the Spectral Distribution of a
Generalized Scalar Operator 101
3. Sums and Products of Generalized Scalar and Spectral Operators 104
4. Nilpotence properties of the Commutators of Generalized Scalar
Operators Ill
5. Some Relations between a Generalized Spectral Operator and its
Scalar Part 115
6. The Decomposition of a Generalized Spectral Operator into Real
Part and Imaginary Part 120
7. Roots and Logarithms of Generalized Spectral Operators 122
Notes and Remarks 126
Chapter 5. 9I Unitary and 91 Self Adjoint Operators
1. 3t unitary Operators; the Case of Generalized Scalar Operators.. 127
2. The Banach Algebra «[o] 139
3. $I unitary Operators; the Sir unitary Operators 154
4. 9l self adjoint Operators 156
5. 3I unitary and 9l self adjoint Operators in Hilbert Spaces .... 164
6. Triangular Form and Invariant Subspaces for Operators in
Hilbert Spaces 170
Notes and Remarks 184
Chapter 6. Some Examples and Some Open Questions
1. Multiplication Operators in Banach Spaces of Differentiable
Functions 187
2. Multiplication Operators in Banach Algebras 197
3. Krabbe s Functional Calculus for Certain Multipliers in L (R).. 206
4. A Remark on a Class of Operators, Related to Matrix functions 212
5. Some Open Questions 217
Notes and Remarks 218
Bibliography 220
Index 227
Appendix 229
|
| any_adam_object | 1 |
| author | Colojoarǎ, Ion Foiaş, Ciprian 1933-2020 |
| author_GND | (DE-588)172077648 |
| author_facet | Colojoarǎ, Ion Foiaş, Ciprian 1933-2020 |
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| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)443472 (DE-599)BVBBV006245546 |
| dewey-full | 517/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 517 - [Unassigned] |
| dewey-raw | 517/.7 |
| dewey-search | 517/.7 |
| dewey-sort | 3517 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV006245546 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:42:25Z |
| institution | BVB |
| language | English |
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| oclc_num | 443472 |
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| owner_facet | DE-739 DE-355 DE-BY-UBR DE-384 DE-19 DE-BY-UBM DE-29T DE-83 DE-11 DE-188 |
| physical | XVI, 232 S. |
| psigel | TUB-nveb |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | Gordon & Breach |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spelling | Colojoarǎ, Ion Verfasser aut Theory of generalized spectral operators Ion Colojoarǎ and Ciprian Foiaş New York [u.a.] Gordon & Breach 1968 XVI, 232 S. txt rdacontent n rdamedia nc rdacarrier Mathematics and its applications 9 Spectres, Théorie des Spectral theory (Mathematics) Foiaş, Ciprian 1933-2020 Verfasser (DE-588)172077648 aut Mathematics and its applications 9 (DE-604)BV008163334 9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003943639&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Colojoarǎ, Ion Foiaş, Ciprian 1933-2020 Theory of generalized spectral operators Mathematics and its applications Spectres, Théorie des Spectral theory (Mathematics) |
| title | Theory of generalized spectral operators |
| title_auth | Theory of generalized spectral operators |
| title_exact_search | Theory of generalized spectral operators |
| title_full | Theory of generalized spectral operators Ion Colojoarǎ and Ciprian Foiaş |
| title_fullStr | Theory of generalized spectral operators Ion Colojoarǎ and Ciprian Foiaş |
| title_full_unstemmed | Theory of generalized spectral operators Ion Colojoarǎ and Ciprian Foiaş |
| title_short | Theory of generalized spectral operators |
| title_sort | theory of generalized spectral operators |
| topic | Spectres, Théorie des Spectral theory (Mathematics) |
| topic_facet | Spectres, Théorie des Spectral theory (Mathematics) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003943639&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
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