This is a softcover reprint of the 1987 English translation of the second edition of Bourbaki's Espaces Vectoriels Topologiques. Much 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, reflecting decades of progress in the field.
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Text: English, French (translation)
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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)
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First Sentence:
It is equivalent to saying that E is a topological left K-module (GT, III, § 6.6). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
closed convex envelope, prehilbertian space, valued division ring, metrisable vector spaces, two locally convex spaces, hilbertian sum, weakened topology, balanced envelope, strict morphism, hilbertian spaces, normed space topology, direct topological sum, separating duality, closed linear variety, vector suhspace, closed vector subspace, affine linear variety, uniform structure induced, bornological space, extremal generator, weakened topologies, balanced neighbourhoods, convex metrizable space, everywhere dense subspace, positive endomorphism Key Phrases - Capitalized Phrases (CAPs): (learn more)
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It is equivalent to saying that E is a topological left K-module (GT, III, § 6.6). Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
closed convex envelope, prehilbertian space, valued division ring, metrisable vector spaces, two locally convex spaces, hilbertian sum, weakened topology, balanced envelope, strict morphism, hilbertian spaces, normed space topology, direct topological sum, separating duality, closed linear variety, vector suhspace, closed vector subspace, affine linear variety, uniform structure induced, bornological space, extremal generator, weakened topologies, balanced neighbourhoods, convex metrizable space, everywhere dense subspace, positive endomorphism Key Phrases - Capitalized Phrases (CAPs): (learn more)
Mathematical Physics New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 3
books:
- Gesammelte Abhandlungen. Erster Band: Zahlentheorie (AMS Chelsea Publishing) by David Hilbert in Back Matter
- New York (Land of Liberty) by Ellen Sturm in Back Matter
- Gesammelte Abhandlungen by Hermann Minkowski in Back Matter
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