Trace ideals and their applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2005]
|
| Edition: | Second Edition |
| Series: | Mathematical surveys and monographs
Volume 120 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | viii, 150 Seiten |
| ISBN: | 9780821835814 0821835815 9780821849880 |
Staff View
MARC
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| 100 | 1 | |a Simon, Barry |d 1946- |e Verfasser |0 (DE-588)134200195 |4 aut | |
| 245 | 1 | 0 | |a Trace ideals and their applications |c Barry Simon |
| 250 | |a Second Edition | ||
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| 264 | 4 | |c © 2005 | |
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Record in the Search Index
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| adam_text | Contents
Preface to the Second Edition v
Preface to the First Edition vii
Chapter 1. Preliminaries 1
1.1. Absolute Value and Polar Decomposition 1
1.2. Compact Operators and the Canonical Decomposition 1
1.3. Inequalities on Singular Values, I 3
1.4. Rearrangement Inequalities and All That 4
1.5. Antisymmetric Tensor Products 6
1.6. Inequalities on Eigenvalues, I 8
1.7. Symmetrically Normed Spaces 8
1.8. InequalitiesonSingularValuesandEigenvalues.il 11
1.9. Clarkson McCarthy Inequalities 14
Chapter 2. Calkin s Theory of Operator Ideals and Symmetrically Normed
Ideals; Convergence Theorems for dp 17
Chapter 3. Trace, Determinant, and Lidskii s Theorem 31
Chapter 4. f(x)g(~iV) 37
Chapter 5. Fredholm Theory 45
Chapter 6. Scattering With a Trace Condition 53
Chapter 7. Bound State Problems 61
Chapter 8. Lots of Inequalities 67
8.1. Golden Thompson Inequalities 67
8.2. Lieb s Inequalities 70
8.3. Peierls Bogoliubov and Berezin Inequalities 71
8.4. Lieb Concavity 72
Chapter 9. Regularized Determinants and Renormalization in Quantum Field
Theory 75
Chapter 10. An Introduction to the Theory on a Banach Space 81
Chapter 11. Borel Transforms, the Krein Spectral Shift,
and All That 85
11.1. Borel Transforms of Measures 86
11.2. Rank One Perturbations: The Set Up and Basic Formulae 90
iii
iv CONTENTS
11.3. The Integral Formula 92
11.4. The Krein Spectral Shift 93
Appendix to Section 11.4: The Krein Spectral Shift for
Trace Class Perturbations 96
11.5. Infinite Coupling 97
11.6. Boundary Condition Variation of ODE s 100
11.7. Jacobi Matrices 102
Chapter 12. Spectral Theory of Rank One Perturbations 105
12.1. Invariance of the Absolutely Continuous Spectrum 105
12.2. The Aronszajn Donoghue Theory 106
12.3. The Simon Wolff Criterion 107
12.4. Instability of Point Spectrum 109
12.5. Examples 110
Chapter 13. Localization in the Anderson Model
Following Aizenman Molchanov 113
Chapter 14. The Xi Function 117
14.1. Abstract Trace Formula 118
14.2. The Trace Formula for Schrodinger Operators 119
14.3. Examples 120
14.4. The Trace Formula for Jacobi Matrices 122
14.5. A Regularity Theorem for the A.C. Spectrum 123
14.6. Inverse Problems 124
Appendix. Addenda 127
Bibliography 135
Index 149
|
| any_adam_object | 1 |
| author | Simon, Barry 1946- |
| author_GND | (DE-588)134200195 |
| author_facet | Simon, Barry 1946- |
| author_role | aut |
| author_sort | Simon, Barry 1946- |
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| building | Verbundindex |
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| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 230 SK 600 SK 620 |
| ctrlnum | (OCoLC)254588804 (DE-599)BVBBV020006497 |
| 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 |
| edition | Second Edition |
| format | Book |
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| id | DE-604.BV020006497 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:10:39Z |
| institution | BVB |
| isbn | 9780821835814 0821835815 9780821849880 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013328136 |
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| owner_facet | DE-19 DE-BY-UBM DE-29T DE-355 DE-BY-UBR DE-11 DE-188 DE-83 |
| physical | viii, 150 Seiten |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Simon, Barry 1946- Verfasser (DE-588)134200195 aut Trace ideals and their applications Barry Simon Second Edition Providence, Rhode Island American Mathematical Society [2005] © 2005 viii, 150 Seiten txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs Volume 120 Hier auch später erschienene, unveränderte Nachdrucke Hilbert-Raum - Idealtheorie Ideal <Mathematik> - Operatortheorie Ideal Mathematik (DE-588)4161198-6 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Idealtheorie (DE-588)4161208-5 gnd rswk-swf Ideal (DE-588)4161197-4 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Ideal Mathematik (DE-588)4161198-6 s Operatortheorie (DE-588)4075665-8 s DE-604 Hilbert-Raum (DE-588)4159850-7 s Idealtheorie (DE-588)4161208-5 s Ideal (DE-588)4161197-4 s Erscheint auch als Online-Ausgabe 978-1-4704-1347-7 Mathematical surveys and monographs Volume 120 (DE-604)BV000018014 120 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013328136&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Simon, Barry 1946- Trace ideals and their applications Mathematical surveys and monographs Hilbert-Raum - Idealtheorie Ideal <Mathematik> - Operatortheorie Ideal Mathematik (DE-588)4161198-6 gnd Operatortheorie (DE-588)4075665-8 gnd Idealtheorie (DE-588)4161208-5 gnd Ideal (DE-588)4161197-4 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| subject_GND | (DE-588)4161198-6 (DE-588)4075665-8 (DE-588)4161208-5 (DE-588)4161197-4 (DE-588)4159850-7 |
| title | Trace ideals and their applications |
| title_auth | Trace ideals and their applications |
| title_exact_search | Trace ideals and their applications |
| title_full | Trace ideals and their applications Barry Simon |
| title_fullStr | Trace ideals and their applications Barry Simon |
| title_full_unstemmed | Trace ideals and their applications Barry Simon |
| title_short | Trace ideals and their applications |
| title_sort | trace ideals and their applications |
| topic | Hilbert-Raum - Idealtheorie Ideal <Mathematik> - Operatortheorie Ideal Mathematik (DE-588)4161198-6 gnd Operatortheorie (DE-588)4075665-8 gnd Idealtheorie (DE-588)4161208-5 gnd Ideal (DE-588)4161197-4 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| topic_facet | Hilbert-Raum - Idealtheorie Ideal <Mathematik> - Operatortheorie Ideal Mathematik Operatortheorie Idealtheorie Ideal Hilbert-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013328136&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000018014 |
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