A Short Introduction to Perturbation Theory for Linear Operators:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer US
1982
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or even before, the publication of the latter, there have been suggestions about separating the first two chapters into a single volume. I have now agreed to follow the suggestions, hoping that it will make the book available to a wider audience. Those two chapters were intended from the outset to be a comprehen sive presentation of those parts of perturbation theory that can be treated without the topological complications of infinite-dimensional spaces. In fact, many essential and. even advanced results in the theory have non trivial contents in finite-dimensional spaces, although one should not forget that some parts of the theory, such as those pertaining to scatter ing. are peculiar to infinite dimensions. I hope that this book may also be used as an introduction to linear algebra. I believe that the analytic approach based on a systematic use of complex functions, by way of the resolvent theory, must have a strong appeal to students of analysis or applied mathematics, who are usually familiar with such analytic tools |
Beschreibung: | 1 Online-Ressource (XIV, 162 p) |
ISBN: | 9781461257004 9781461257028 |
DOI: | 10.1007/978-1-4612-5700-4 |
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Datensatz im Suchindex
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any_adam_object | |
author | Kato, Tosio |
author_facet | Kato, Tosio |
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author_sort | Kato, Tosio |
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dewey-full | 515 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515 |
dewey-search | 515 |
dewey-sort | 3515 |
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discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4612-5700-4 |
format | Electronic eBook |
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id | DE-604.BV042420417 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:06Z |
institution | BVB |
isbn | 9781461257004 9781461257028 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855834 |
oclc_num | 863860081 |
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physical | 1 Online-Ressource (XIV, 162 p) |
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publishDate | 1982 |
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publisher | Springer US |
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spelling | Kato, Tosio Verfasser aut A Short Introduction to Perturbation Theory for Linear Operators by Tosio Kato New York, NY Springer US 1982 1 Online-Ressource (XIV, 162 p) txt rdacontent c rdamedia cr rdacarrier This book is a slightly expanded reproduction of the first two chapters (plus Introduction) of my book Perturbation Theory tor Linear Operators, Grundlehren der mathematischen Wissenschaften 132, Springer 1980. Ever since, or even before, the publication of the latter, there have been suggestions about separating the first two chapters into a single volume. I have now agreed to follow the suggestions, hoping that it will make the book available to a wider audience. Those two chapters were intended from the outset to be a comprehen sive presentation of those parts of perturbation theory that can be treated without the topological complications of infinite-dimensional spaces. In fact, many essential and. even advanced results in the theory have non trivial contents in finite-dimensional spaces, although one should not forget that some parts of the theory, such as those pertaining to scatter ing. are peculiar to infinite dimensions. I hope that this book may also be used as an introduction to linear algebra. I believe that the analytic approach based on a systematic use of complex functions, by way of the resolvent theory, must have a strong appeal to students of analysis or applied mathematics, who are usually familiar with such analytic tools Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Linearer Operator (DE-588)4167721-3 gnd rswk-swf Störungstheorie (DE-588)4128420-3 gnd rswk-swf Störungstheorie (DE-588)4128420-3 s Linearer Operator (DE-588)4167721-3 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-5700-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Kato, Tosio A Short Introduction to Perturbation Theory for Linear Operators Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Linearer Operator (DE-588)4167721-3 gnd Störungstheorie (DE-588)4128420-3 gnd |
subject_GND | (DE-588)4167721-3 (DE-588)4128420-3 |
title | A Short Introduction to Perturbation Theory for Linear Operators |
title_auth | A Short Introduction to Perturbation Theory for Linear Operators |
title_exact_search | A Short Introduction to Perturbation Theory for Linear Operators |
title_full | A Short Introduction to Perturbation Theory for Linear Operators by Tosio Kato |
title_fullStr | A Short Introduction to Perturbation Theory for Linear Operators by Tosio Kato |
title_full_unstemmed | A Short Introduction to Perturbation Theory for Linear Operators by Tosio Kato |
title_short | A Short Introduction to Perturbation Theory for Linear Operators |
title_sort | a short introduction to perturbation theory for linear operators |
topic | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Linearer Operator (DE-588)4167721-3 gnd Störungstheorie (DE-588)4128420-3 gnd |
topic_facet | Mathematics Global analysis (Mathematics) Analysis Theoretical, Mathematical and Computational Physics Mathematik Linearer Operator Störungstheorie |
url | https://doi.org/10.1007/978-1-4612-5700-4 |
work_keys_str_mv | AT katotosio ashortintroductiontoperturbationtheoryforlinearoperators |