Fundamentals of Functional Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1996
|
| Schriftenreihe: | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series
12 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | to the English Translation This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the Riesz-Dunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces. With standard provisos the presentation is self-contained, exposing about a h- dred famous "named" theorems furnished with complete proofs and culminating in the Gelfand-Nalmark-Segal construction for C*-algebras. The first Russian edition was printed by the Siberian Division of "Nauka" P- lishers in 1983. Since then the monograph has served as the standard textbook on functional analysis at the University of Novosibirsk. This volume is translated from the second Russian edition printed by the Sobolev Institute of Mathematics of the Siberian Division of the Russian Academy of Sciences· in 1995. It incorporates new sections on Radon measures, the Schwartz spaces of distributions, and a supplementary list of theoretical exercises and problems. This edition was typeset using AMS-'lEX, the American Mathematical Society's 'lEX system. To clear my conscience completely, I also confess that := stands for the definor, the assignment operator, signifies the end of the proof |
| Beschreibung: | 1 Online-Ressource (XIV, 278 p) |
| ISBN: | 9789401587556 9789048146611 |
| ISSN: | 0927-4529 |
| DOI: | 10.1007/978-94-015-8755-6 |
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| 300 | |a 1 Online-Ressource (XIV, 278 p) | ||
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| 500 | |a to the English Translation This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the Riesz-Dunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces. With standard provisos the presentation is self-contained, exposing about a h- dred famous "named" theorems furnished with complete proofs and culminating in the Gelfand-Nalmark-Segal construction for C*-algebras. The first Russian edition was printed by the Siberian Division of "Nauka" P- lishers in 1983. Since then the monograph has served as the standard textbook on functional analysis at the University of Novosibirsk. This volume is translated from the second Russian edition printed by the Sobolev Institute of Mathematics of the Siberian Division of the Russian Academy of Sciences· in 1995. It incorporates new sections on Radon measures, the Schwartz spaces of distributions, and a supplementary list of theoretical exercises and problems. This edition was typeset using AMS-'lEX, the American Mathematical Society's 'lEX system. To clear my conscience completely, I also confess that := stands for the definor, the assignment operator, signifies the end of the proof | ||
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Datensatz im Suchindex
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| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515.7 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-015-8755-6 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401587556 9789048146611 |
| issn | 0927-4529 |
| language | English |
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| physical | 1 Online-Ressource (XIV, 278 p) |
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| publishDate | 1996 |
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| series2 | Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series |
| spelling | Kutateladze, S. S. Verfasser aut Fundamentals of Functional Analysis by S. S. Kutateladze Dordrecht Springer Netherlands 1996 1 Online-Ressource (XIV, 278 p) txt rdacontent c rdamedia cr rdacarrier Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series 12 0927-4529 to the English Translation This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the Riesz-Dunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces. With standard provisos the presentation is self-contained, exposing about a h- dred famous "named" theorems furnished with complete proofs and culminating in the Gelfand-Nalmark-Segal construction for C*-algebras. The first Russian edition was printed by the Siberian Division of "Nauka" P- lishers in 1983. Since then the monograph has served as the standard textbook on functional analysis at the University of Novosibirsk. This volume is translated from the second Russian edition printed by the Sobolev Institute of Mathematics of the Siberian Division of the Russian Academy of Sciences· in 1995. It incorporates new sections on Radon measures, the Schwartz spaces of distributions, and a supplementary list of theoretical exercises and problems. This edition was typeset using AMS-'lEX, the American Mathematical Society's 'lEX system. To clear my conscience completely, I also confess that := stands for the definor, the assignment operator, signifies the end of the proof Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 s 1\p DE-604 https://doi.org/10.1007/978-94-015-8755-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kutateladze, S. S. Fundamentals of Functional Analysis Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4018916-8 |
| title | Fundamentals of Functional Analysis |
| title_auth | Fundamentals of Functional Analysis |
| title_exact_search | Fundamentals of Functional Analysis |
| title_full | Fundamentals of Functional Analysis by S. S. Kutateladze |
| title_fullStr | Fundamentals of Functional Analysis by S. S. Kutateladze |
| title_full_unstemmed | Fundamentals of Functional Analysis by S. S. Kutateladze |
| title_short | Fundamentals of Functional Analysis |
| title_sort | fundamentals of functional analysis |
| topic | Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Mathematics Functional analysis Operator theory Functional Analysis Operator Theory Mathematik Funktionalanalysis |
| url | https://doi.org/10.1007/978-94-015-8755-6 |
| work_keys_str_mv | AT kutateladzess fundamentalsoffunctionalanalysis |