Topological Vector Spaces: Chapters 1–5
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
Schriftenreihe: | Elements of Mathematics
|
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | This is a softcover reprint of the English translation of 1987 of the second edition of Bourbaki's Espaces Vectoriels Topologiques (1981). This Äsecond editionÜ is a brand new book and completely supersedes the original version of nearly 30 years ago. But a lot of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, all reflecting the progress made in the field during the last three decades. Table of Contents. Chapter I: Topological vector spaces over a valued field. Chapter II: Convex sets and locally convex spaces. Chapter III: Spaces of continuous linear mappings. Chapter IV: Duality in topological vector spaces. Chapter V: Hilbert spaces (elementary theory). Finally, there are the usual "historical note", bibliography, index of notation, index of terminology, and a list of some important properties of Banach spaces. (Based on Math Reviews, 1983) |
Beschreibung: | 1 Online-Ressource (VII, 362 p) |
ISBN: | 9783642617157 9783540423386 |
DOI: | 10.1007/978-3-642-61715-7 |
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author_facet | Bourbaki, Nicolas |
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dewey-ones | 514 - Topology |
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institution | BVB |
isbn | 9783642617157 9783540423386 |
language | English |
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spelling | Bourbaki, Nicolas Verfasser aut Topological Vector Spaces Chapters 1–5 by Nicolas Bourbaki Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (VII, 362 p) txt rdacontent c rdamedia cr rdacarrier Elements of Mathematics This is a softcover reprint of the English translation of 1987 of the second edition of Bourbaki's Espaces Vectoriels Topologiques (1981). This Äsecond editionÜ is a brand new book and completely supersedes the original version of nearly 30 years ago. But a lot of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, all reflecting the progress made in the field during the last three decades. Table of Contents. Chapter I: Topological vector spaces over a valued field. Chapter II: Convex sets and locally convex spaces. Chapter III: Spaces of continuous linear mappings. Chapter IV: Duality in topological vector spaces. Chapter V: Hilbert spaces (elementary theory). Finally, there are the usual "historical note", bibliography, index of notation, index of terminology, and a list of some important properties of Banach spaces. (Based on Math Reviews, 1983) Mathematics Functional analysis Topology Functional Analysis Mathematik Topologischer Vektorraum (DE-588)4122383-4 gnd rswk-swf Topologischer Vektorraum (DE-588)4122383-4 s 1\p DE-604 https://doi.org/10.1007/978-3-642-61715-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Bourbaki, Nicolas Topological Vector Spaces Chapters 1–5 Mathematics Functional analysis Topology Functional Analysis Mathematik Topologischer Vektorraum (DE-588)4122383-4 gnd |
subject_GND | (DE-588)4122383-4 |
title | Topological Vector Spaces Chapters 1–5 |
title_auth | Topological Vector Spaces Chapters 1–5 |
title_exact_search | Topological Vector Spaces Chapters 1–5 |
title_full | Topological Vector Spaces Chapters 1–5 by Nicolas Bourbaki |
title_fullStr | Topological Vector Spaces Chapters 1–5 by Nicolas Bourbaki |
title_full_unstemmed | Topological Vector Spaces Chapters 1–5 by Nicolas Bourbaki |
title_short | Topological Vector Spaces |
title_sort | topological vector spaces chapters 1 5 |
title_sub | Chapters 1–5 |
topic | Mathematics Functional analysis Topology Functional Analysis Mathematik Topologischer Vektorraum (DE-588)4122383-4 gnd |
topic_facet | Mathematics Functional analysis Topology Functional Analysis Mathematik Topologischer Vektorraum |
url | https://doi.org/10.1007/978-3-642-61715-7 |
work_keys_str_mv | AT bourbakinicolas topologicalvectorspaceschapters15 |