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by H. G. Eggleston,S. Madan,Nicolas Bourbaki
Download Topological Vectors Spaces: Elements of Mathematics fb2
Science & Mathematics
  • Author:
    H. G. Eggleston,S. Madan,Nicolas Bourbaki
  • ISBN:
    0387136274
  • ISBN13:
    978-0387136271
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  • Publisher:
    Springer Verlag (September 1, 1987)
  • Subcategory:
    Science & Mathematics
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Topological Vector Spaces.

Topological Vector Spaces. eBook 91,62 €. price for Russian Federation (gross).

Elements of Mathematics : Topological Vector Spaces. This book is the English translation of the new and expanded version of Bourbaki's "Espaces vectoriels topologiques"

Elements of Mathematics : Topological Vector Spaces. This book is the English translation of the new and expanded version of Bourbaki's "Espaces vectoriels topologiques".

Elements of Mathematics. By (author) Nicolas Bourbaki, Translated by H. G. Eggleston. I. - Topological vector spaces over a valued division ring . 1. Topological vector spaces. Definition of a topological vector space. 2. Normed spaces on a valued division ring. 3. Vector subspaces and quotient spaces of a topological vector space; products of topological vector spaces; topological direct sums of subspaces. 4. Uniform structure and completion of a topological vector space. 5. Neighbourhoods of the origin in a topological vector space over a valued division ring.

Chapter I: Topological vector spaces over a valued field. Chapter II: Convex sets and locally convex spaces. Elements of Mathematics: Chapters 1-5. N. Bourbaki, . Eggleston (Translator), S. Madan (Translator). Published by Springer (2002)

Chapter I: Topological vector spaces over a valued field. 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. Published by Springer (2002). ISBN 10: 3540423389 ISBN 13: 9783540423386.

Автор: Bourbaki . Описание: This book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. Madan S. Название: Elements of Mathematics, Topological Vector Spaces.

Elements of Mathematics book. Goodreads helps you keep track of books you want to read. Start by marking Elements of Mathematics: Topological Vector Spaces. Chapters 1-5 as Want to Read: Want to Read saving.

Chapter IV: Duality in topological vector spaces.

Nicolas Bourbaki, Sterling K. Berberian

Nicolas Bourbaki, Sterling K. Berberian. Intégration is the sixth and last of the Books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author's Théories Spectrales, an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups

Topological vector spaces. 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. Volume: Chapter 1-5. Год: 1987.

This book is the English translation of the new and expanded version of Bourbaki's "Espaces vectoriels topologiques". Chapters 1 and 2 contain the general definitions and a thorough study of convexity; they are organized around the basic theorems (closed graph, Hahn-Banach and Krein-Milman), and differ only by minor changes from those of older editions. Chapter 3 and 4 have been substantially rewritten; the order of exposition has been modified and a number of notions and results have been inserted, whose importance emerged in the last twenty years. Bornological spaces are introduced together with barrelled ones; almost every space of practical use today belongs in fact to these two categories, which have good stability properties, and in which the basic theorems (the Banach-Steinhaus theorem for example) apply. Recent results on the completion of a dual space (Grothendieck theorem) or on the continuity of linear maps with measurable graphs are treated. An important place is devoted to properties of Fréchet spaces and of their dual spaces, to compactness criteria (Eberlein-Smullian) and to the existence of fixed points for groups of linear maps. Chapter 5 is devoted to Hilbert spaces; it includes in particular the spectral decomposition of Hilbert-Schmidt operators and the construction of symmetric and exterior powers of Hilbert spaces, whose applications are of growing importance. At the end, an appendix restates the principal results obtained in the case of normed spaces, providing convenient references. The book addresses all mathematicians and physicists interested in a structural presentation of contemporary mathematics.