Verfügbarkeit: Finite sections of band-dominated operators

Finite sections of band-dominated operators:

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Bibliographische Detailangaben
1. Verfasser:	Roch, Steffen 1958- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Providence, RI American Math. Soc. 2008
Schriftenreihe:	Memoirs of the American Mathematical Society 895
Schlagworte:	Operator algebras Operator theory Operatoralgebra Operatortheorie
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	"Volume 191, number 895." Includes bibliographical references and index
Beschreibung:	VII, 87 S. graph. Darst.
ISBN:	9780821840429

Internformat

MARC


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Datensatz im Suchindex

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adam_text	FINITE SECTIONS OF BAND-DOMINATED OPERATORS STEFFEN ROCH JANUARY 2008 * VOLUME 191 * NUMBER 895 (END OF VOLUME) * ISSN 0065-9266 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND CONTENTS CHAPTER 1. INTRODUCTION: BAND-DOMINATED OPERATORS 1 CHAPTER 2. STABILITY 5 2.1. FREDHOLM BAND-DOMINATED OPERATORS AND THEIR INDICES 6 2.2. ALGEBRAS OF MATRIX SEQUENCES 7 2.3. STABILITY VS. FREDHOLMNESS 9 2.4. STABILITY OF THE FINITE SECTIONS METHOD 9 2.5. BAND-DOMINATED OPERATORS WITH SLOWLY OSCILLATING COEFFICIENTS 11 2.6. THE ROLE OF THE INDEX 13 2.7. THE C-ALGEBRA OF THE FINITE SECTIONS METHOD 14 2.8. ANOTHER PERSPECTIVE ON LOCALIZATION 19 CHAPTER 3. STABLE REGULARIZABILITY 23 3.1. MOORE-PENROSE INVERTIBILITY IN C-ALGEBRAS 23 3.2. STABLE REGULARIZABILITY VS. MOORE-PENROSE INVERTIBILITY 25 3.3. STABLE REGULARIZABILITY OF THE FINITE SECTIONS METHOD 26 CHAPTER 4. COMPACTNESS 30 4.1. COMPACT SEQUENCES 30 4.2. CHARACTERIZATION VIA SINGULAR VALUES 32 4.3. CENTRAL RANK CHARACTERIZATIONS 35 4.4. MINIMAL AND MAXIMAL CHARACTERIZATIONS 38 4.5. COMPACT SEQUENCES IN CHAPTER 5. FREDHOLMNESS 47 5.1. FREDHOLM SEQUENCES 47 5.2. FREDHOLMNESS AND STABILITY 50 5.3. FREDHOLMNESS AND STABLE REGULARIZABILITY 51 5.4. FREDHOLMNESS OF THE FINITE SECTIONS METHOD 52 5.5. SLOWLY OSCILLATING COEFFICIENTS 54 CHAPTER 6. ESSENTIAL FRACTALITY 57 6.1. FRACTALITY OF QUOTIENT MAPS 57 6.2. J-FRACTAL ALGEBRAS 59 6.3. ESSENTIAL FRACTALITY AND SINGULAR VALUES 61 6.4. ESSENTIAL FRACTALITY OF THE FINITE SECTIONS ALGEBRAS 62 CHAPTER 7. APPLICATIONS 64 7.1. APPROXIMATION NUMBERS 64 7.2. RANK-PRESERVING DISCRETIZATIONS 65 7.3. ARVESON DICHOTOMY: BAND-DOMINATED OPERATORS 67 VI CONTENTS 7.4. ARVESON DICHOTOMY: THE GENERAL SETTING 70 7.5. ESSENTIAL SPECTRA 71 7.6. ESSENTIAL PSEUDOSPECTRA 73 7.7. PSEUDOMODES 76 7.8. DETERMINANTS 80 BIBLIOGRAPHY 83 INDEX 86
adam_txt	FINITE SECTIONS OF BAND-DOMINATED OPERATORS STEFFEN ROCH JANUARY 2008 * VOLUME 191 * NUMBER 895 (END OF VOLUME) * ISSN 0065-9266 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND CONTENTS CHAPTER 1. INTRODUCTION: BAND-DOMINATED OPERATORS 1 CHAPTER 2. STABILITY 5 2.1. FREDHOLM BAND-DOMINATED OPERATORS AND THEIR INDICES 6 2.2. ALGEBRAS OF MATRIX SEQUENCES 7 2.3. STABILITY VS. FREDHOLMNESS 9 2.4. STABILITY OF THE FINITE SECTIONS METHOD 9 2.5. BAND-DOMINATED OPERATORS WITH SLOWLY OSCILLATING COEFFICIENTS 11 2.6. THE ROLE OF THE INDEX 13 2.7. THE C-ALGEBRA OF THE FINITE SECTIONS METHOD 14 2.8. ANOTHER PERSPECTIVE ON LOCALIZATION 19 CHAPTER 3. STABLE REGULARIZABILITY 23 3.1. MOORE-PENROSE INVERTIBILITY IN C-ALGEBRAS 23 3.2. STABLE REGULARIZABILITY VS. MOORE-PENROSE INVERTIBILITY 25 3.3. STABLE REGULARIZABILITY OF THE FINITE SECTIONS METHOD 26 CHAPTER 4. COMPACTNESS 30 4.1. COMPACT SEQUENCES 30 4.2. CHARACTERIZATION VIA SINGULAR VALUES 32 4.3. CENTRAL RANK CHARACTERIZATIONS 35 4.4. MINIMAL AND MAXIMAL CHARACTERIZATIONS 38 4.5. COMPACT SEQUENCES IN CHAPTER 5. FREDHOLMNESS 47 5.1. FREDHOLM SEQUENCES 47 5.2. FREDHOLMNESS AND STABILITY 50 5.3. FREDHOLMNESS AND STABLE REGULARIZABILITY 51 5.4. FREDHOLMNESS OF THE FINITE SECTIONS METHOD 52 5.5. SLOWLY OSCILLATING COEFFICIENTS 54 CHAPTER 6. ESSENTIAL FRACTALITY 57 6.1. FRACTALITY OF QUOTIENT MAPS 57 6.2. J-FRACTAL ALGEBRAS 59 6.3. ESSENTIAL FRACTALITY AND SINGULAR VALUES 61 6.4. ESSENTIAL FRACTALITY OF THE FINITE SECTIONS ALGEBRAS 62 CHAPTER 7. APPLICATIONS 64 7.1. APPROXIMATION NUMBERS 64 7.2. RANK-PRESERVING DISCRETIZATIONS 65 7.3. ARVESON DICHOTOMY: BAND-DOMINATED OPERATORS 67 VI CONTENTS 7.4. ARVESON DICHOTOMY: THE GENERAL SETTING 70 7.5. ESSENTIAL SPECTRA 71 7.6. ESSENTIAL PSEUDOSPECTRA 73 7.7. PSEUDOMODES 76 7.8. DETERMINANTS 80 BIBLIOGRAPHY 83 INDEX 86
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spelling	Roch, Steffen 1958- Verfasser (DE-588)112466737 aut Finite sections of band-dominated operators Steffen Roch Providence, RI American Math. Soc. 2008 VII, 87 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 895 "Volume 191, number 895." Includes bibliographical references and index Operator algebras Operator theory Operatoralgebra (DE-588)4129366-6 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 s Operatortheorie (DE-588)4075665-8 s DE-604 Memoirs of the American Mathematical Society 895 (DE-604)BV008000141 895 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016358300&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Roch, Steffen 1958- Finite sections of band-dominated operators Memoirs of the American Mathematical Society Operator algebras Operator theory Operatoralgebra (DE-588)4129366-6 gnd Operatortheorie (DE-588)4075665-8 gnd
subject_GND	(DE-588)4129366-6 (DE-588)4075665-8
title	Finite sections of band-dominated operators
title_auth	Finite sections of band-dominated operators
title_exact_search	Finite sections of band-dominated operators
title_exact_search_txtP	Finite sections of band-dominated operators
title_full	Finite sections of band-dominated operators Steffen Roch
title_fullStr	Finite sections of band-dominated operators Steffen Roch
title_full_unstemmed	Finite sections of band-dominated operators Steffen Roch
title_short	Finite sections of band-dominated operators
title_sort	finite sections of band dominated operators
topic	Operator algebras Operator theory Operatoralgebra (DE-588)4129366-6 gnd Operatortheorie (DE-588)4075665-8 gnd
topic_facet	Operator algebras Operator theory Operatoralgebra Operatortheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016358300&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV008000141
work_keys_str_mv	AT rochsteffen finitesectionsofbanddominatedoperators

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