Differential Calculus in Topological Linear Spaces PDF Download
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Author: S. Yamamuro
Publisher: Springer
ISBN: 3540379711
Category : Mathematics
Languages : en
Pages : 184
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Book Description
Author: S. Yamamuro
Publisher: Springer
ISBN: 3540379711
Category : Mathematics
Languages : en
Pages : 184
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Book Description
Author: Sadayuki Yamamuro
Publisher:
ISBN:
Category : Differentiable mappings
Languages : en
Pages : 179
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Book Description
Author: John Wylie Lloyd
Publisher:
ISBN:
Category : Differential calculus
Languages : en
Pages :
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Book Description
Author: V.I. Bogachev
Publisher: Springer
ISBN: 3319571176
Category : Mathematics
Languages : en
Pages : 466
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Book Description
This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: A. Frölicher
Publisher: Springer
ISBN: 354034862X
Category : Mathematics
Languages : en
Pages : 159
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Book Description
Author: John Horvath
Publisher: Courier Corporation
ISBN: 0486311031
Category : Mathematics
Languages : en
Pages : 466
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Book Description
Precise exposition provides an excellent summary of the modern theory of locally convex spaces and develops the theory of distributions in terms of convolutions, tensor products, and Fourier transforms. 1966 edition.
Author: Alfred Frölicher
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 272
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Book Description
This book presents a new basis for differential calculus. Classical differentiation in linear spaces of arbitrary dimension uses Banach spaces--but most function spaces are not Banach spaces. Any attempts to develop a theory of differentiation covering non-normable linear spaces have always involved arbitrary conditions. This book bases the theory of differentiability of linear spaces on the fundamental idea of reducing the differentiability of general maps to that of functions on the real numbers. And the property ``continuously differentiable'' is replaced by that of ``Lipschitz differentiable.'' The result is a more natural theory, of conceptual simplicity that leads to the the same categories of linear spaces, but in a more general setting.
Author: Lawrence Narici
Publisher: CRC Press
ISBN: 1584888679
Category : Mathematics
Languages : en
Pages : 628
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Book Description
With many new concrete examples and historical notes, Topological Vector Spaces, Second Edition provides one of the most thorough and up-to-date treatments of the Hahn-Banach theorem. This edition explores the theorem's connection with the axiom of choice, discusses the uniqueness of Hahn-Banach extensions, and includes an entirely new chapter on v
Author: Albert Wilansky
Publisher: Courier Corporation
ISBN: 0486493539
Category : Mathematics
Languages : en
Pages : 324
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Book Description
"Designed for a one-year course in topological vector spaces, this text is geared toward beginning graduate students of mathematics. Topics include Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators,inductive limits, and compactness and barrelled spaces. Extensive tables cover theorems and counterexamples. Rich problem sections throughout the book. 1978 edition"--
