Functional Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1995
|
| Ausgabe: | Reprint of the 6th Edition 1980 |
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
123 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topological Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathematicians, both pure and applied. The reader may pass, e. g. , from Chapter IX (Analytical Theory of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented in the form of the appendices to Chapter V and Chapter X, respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators |
| Beschreibung: | 1 Online-Ressource (XII, 501 p) |
| ISBN: | 9783642618598 9783540586548 |
| DOI: | 10.1007/978-3-642-61859-8 |
Internformat
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Datensatz im Suchindex
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| author | Yosida, Kôsaku |
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| discipline | Mathematik |
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| edition | Reprint of the 6th Edition 1980 |
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| spelling | Yosida, Kôsaku Verfasser aut Functional Analysis by Kôsaku Yosida Reprint of the 6th Edition 1980 Berlin, Heidelberg Springer Berlin Heidelberg 1995 1 Online-Ressource (XII, 501 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 123 Classics in Mathematics The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topological Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathematicians, both pure and applied. The reader may pass, e. g. , from Chapter IX (Analytical Theory of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented in the form of the appendices to Chapter V and Chapter X, respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators Mathematics Functional analysis Functional Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Funktionalanalysis (DE-588)4018916-8 s 2\p DE-604 Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 123 (DE-604)BV049758308 123 https://doi.org/10.1007/978-3-642-61859-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Yosida, Kôsaku Functional Analysis Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics Mathematics Functional analysis Functional Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4123623-3 |
| title | Functional Analysis |
| title_auth | Functional Analysis |
| title_exact_search | Functional Analysis |
| title_full | Functional Analysis by Kôsaku Yosida |
| title_fullStr | Functional Analysis by Kôsaku Yosida |
| title_full_unstemmed | Functional Analysis by Kôsaku Yosida |
| title_short | Functional Analysis |
| title_sort | functional analysis |
| topic | Mathematics Functional analysis Functional Analysis Mathematik Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Mathematics Functional analysis Functional Analysis Mathematik Funktionalanalysis Lehrbuch |
| url | https://doi.org/10.1007/978-3-642-61859-8 |
| volume_link | (DE-604)BV049758308 |
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