Modern approaches to the invariant-subspace problem:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, UK
Cambridge University Press
2011
|
| Schriftenreihe: | Cambridge tracts in mathematics
188 |
| Schlagworte: | |
| Online-Zugang: | Cover image Inhaltsverzeichnis |
| Beschreibung: | "One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that were derived within the past few years and cannot be found in other books. Beginning with a preliminary chapter containing the necessary pure mathematical background, the authors present a variety of powerful techniques, including the use of the operator-valued Poisson kernel, various forms of the functional calculus, Hardy spaces, fixed point theorems, minimal vectors, universal operators and moment sequences. The subject is presented at a level accessible to postgraduate students, as well as established researchers. It will be of particular interest to those who study linear operators and also to those who work in other areas of pure mathematics"-- Provided by publisher. Includes bibliographical references (p. 269-279) and index |
| Beschreibung: | XI, 285 S. graph. Darst. 24 cm |
| ISBN: | 1107010519 9781107010512 |
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| 490 | 1 | |a Cambridge tracts in mathematics |v 188 | |
| 500 | |a "One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that were derived within the past few years and cannot be found in other books. Beginning with a preliminary chapter containing the necessary pure mathematical background, the authors present a variety of powerful techniques, including the use of the operator-valued Poisson kernel, various forms of the functional calculus, Hardy spaces, fixed point theorems, minimal vectors, universal operators and moment sequences. The subject is presented at a level accessible to postgraduate students, as well as established researchers. It will be of particular interest to those who study linear operators and also to those who work in other areas of pure mathematics"-- Provided by publisher. | ||
| 500 | |a Includes bibliographical references (p. 269-279) and index | ||
| 650 | 4 | |a Invariant subspaces | |
| 650 | 4 | |a Hilbert space | |
| 700 | 1 | |a Partington, Jonathan R. |d 1955- |e Sonstige |0 (DE-588)143775251 |4 oth | |
| 830 | 0 | |a Cambridge tracts in mathematics |v 188 |w (DE-604)BV000000001 |9 188 | |
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Datensatz im Suchindex
| _version_ | 1804149401211371520 |
|---|---|
| adam_text | MODERN APPROACHES TO THE INVARIANT SUBSPACE PROBLEM
/ CHALENDAR, ISABELLE
: 2011
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION; 1. BACKGROUND; 2. THE OPERATOR-VALUED POISSON KERNEL AND
ITS APPLICATIONS; 3. PROPERTIES (AN,M) AND FACTORIZATION OF INTEGRABLE
FUNCTIONS; 4. POLYNOMIALLY BOUNDED OPERATORS WITH RICH SPECTRUM; 5.
BEURLING ALGEBRAS; 6. APPLICATIONS OF A FIXED-POINT THEOREM; 7. MINIMAL
VECTORS; 8. UNIVERSAL OPERATORS; 9. MOMENT SEQUENCES AND BINOMIAL SUMS;
10. POSITIVE AND STRICTLY-SINGULAR OPERATORS; BIBLIOGRAPHY; INDEX.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Chalendar, Isabelle 1970- |
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| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515 3724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV040360150 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:22:26Z |
| institution | BVB |
| isbn | 1107010519 9781107010512 |
| language | English |
| lccn | 2011019460 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025214011 |
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| physical | XI, 285 S. graph. Darst. 24 cm |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge tracts in mathematics |
| series2 | Cambridge tracts in mathematics |
| spelling | Chalendar, Isabelle 1970- Verfasser (DE-588)1023865165 aut Modern approaches to the invariant-subspace problem Isabelle Chalendar ; Jonathan R. Partington Cambridge, UK Cambridge University Press 2011 XI, 285 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Cambridge tracts in mathematics 188 "One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that were derived within the past few years and cannot be found in other books. Beginning with a preliminary chapter containing the necessary pure mathematical background, the authors present a variety of powerful techniques, including the use of the operator-valued Poisson kernel, various forms of the functional calculus, Hardy spaces, fixed point theorems, minimal vectors, universal operators and moment sequences. The subject is presented at a level accessible to postgraduate students, as well as established researchers. It will be of particular interest to those who study linear operators and also to those who work in other areas of pure mathematics"-- Provided by publisher. Includes bibliographical references (p. 269-279) and index Invariant subspaces Hilbert space Partington, Jonathan R. 1955- Sonstige (DE-588)143775251 oth Cambridge tracts in mathematics 188 (DE-604)BV000000001 188 http://assets.cambridge.org/97811070/10512/cover/9781107010512.jpg Cover image LoC Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025214011&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chalendar, Isabelle 1970- Modern approaches to the invariant-subspace problem Cambridge tracts in mathematics Invariant subspaces Hilbert space |
| title | Modern approaches to the invariant-subspace problem |
| title_auth | Modern approaches to the invariant-subspace problem |
| title_exact_search | Modern approaches to the invariant-subspace problem |
| title_full | Modern approaches to the invariant-subspace problem Isabelle Chalendar ; Jonathan R. Partington |
| title_fullStr | Modern approaches to the invariant-subspace problem Isabelle Chalendar ; Jonathan R. Partington |
| title_full_unstemmed | Modern approaches to the invariant-subspace problem Isabelle Chalendar ; Jonathan R. Partington |
| title_short | Modern approaches to the invariant-subspace problem |
| title_sort | modern approaches to the invariant subspace problem |
| topic | Invariant subspaces Hilbert space |
| topic_facet | Invariant subspaces Hilbert space |
| url | http://assets.cambridge.org/97811070/10512/cover/9781107010512.jpg http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025214011&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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