A Short Course on Spectral Theory:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
2002
|
Ausgabe: | 1 |
Schriftenreihe: | Graduate Texts in Mathematics
209 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative k-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis |
Beschreibung: | 1 Online-Ressource (X, 142 p) |
ISBN: | 9780387215181 9781441929433 |
ISSN: | 0072-5285 |
DOI: | 10.1007/b97227 |
Internformat
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Datensatz im Suchindex
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any_adam_object | |
author | Arveson, William |
author_facet | Arveson, William |
author_role | aut |
author_sort | Arveson, William |
author_variant | w a wa |
building | Verbundindex |
bvnumber | BV042418902 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)849927008 (DE-599)BVBBV042418902 |
dewey-full | 515 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515 |
dewey-search | 515 |
dewey-sort | 3515 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/b97227 |
edition | 1 |
format | Electronic eBook |
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id | DE-604.BV042418902 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:03Z |
institution | BVB |
isbn | 9780387215181 9781441929433 |
issn | 0072-5285 |
language | English |
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oclc_num | 849927008 |
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physical | 1 Online-Ressource (X, 142 p) |
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publisher | Springer New York |
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series2 | Graduate Texts in Mathematics |
spelling | Arveson, William Verfasser aut A Short Course on Spectral Theory by William Arveson 1 New York, NY Springer New York 2002 1 Online-Ressource (X, 142 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 209 0072-5285 This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative k-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here. The book is based on a fifteen-week course which the author offered to first or second year graduate students with a foundation in measure theory and elementary functional analysis Mathematics Global analysis (Mathematics) Functional analysis Operator theory Analysis Operator Theory Functional Analysis Mathematik Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 s Spektraltheorie (DE-588)4116561-5 s 1\p DE-604 https://doi.org/10.1007/b97227 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Arveson, William A Short Course on Spectral Theory Mathematics Global analysis (Mathematics) Functional analysis Operator theory Analysis Operator Theory Functional Analysis Mathematik Spektraltheorie (DE-588)4116561-5 gnd Operatortheorie (DE-588)4075665-8 gnd |
subject_GND | (DE-588)4116561-5 (DE-588)4075665-8 |
title | A Short Course on Spectral Theory |
title_auth | A Short Course on Spectral Theory |
title_exact_search | A Short Course on Spectral Theory |
title_full | A Short Course on Spectral Theory by William Arveson |
title_fullStr | A Short Course on Spectral Theory by William Arveson |
title_full_unstemmed | A Short Course on Spectral Theory by William Arveson |
title_short | A Short Course on Spectral Theory |
title_sort | a short course on spectral theory |
topic | Mathematics Global analysis (Mathematics) Functional analysis Operator theory Analysis Operator Theory Functional Analysis Mathematik Spektraltheorie (DE-588)4116561-5 gnd Operatortheorie (DE-588)4075665-8 gnd |
topic_facet | Mathematics Global analysis (Mathematics) Functional analysis Operator theory Analysis Operator Theory Functional Analysis Mathematik Spektraltheorie Operatortheorie |
url | https://doi.org/10.1007/b97227 |
work_keys_str_mv | AT arvesonwilliam ashortcourseonspectraltheory |