Topology And Normed Spaces
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Topology And Normed Spaces
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Author : Graham James Oscar Jameson
language : en
Publisher:
Release Date : 1974
Topology And Normed Spaces written by Graham James Oscar Jameson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Normed linear spaces categories.
Topology; Normed linear spaces.
General Topology In Banach Spaces
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Author : Taras Banakh
language : en
Publisher:
Release Date : 2001
General Topology In Banach Spaces written by Taras Banakh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Geometry Of Linear 2 Normed Spaces
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Author : Raymond W. Freese
language : en
Publisher: Nova Publishers
Release Date : 2001
Geometry Of Linear 2 Normed Spaces written by Raymond W. Freese and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Topology And Linear Topological Spaces
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Author : Hidegorō Nakano
language : en
Publisher:
Release Date : 1951
Topology And Linear Topological Spaces written by Hidegorō Nakano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1951 with Linear topological spaces categories.
Topological Vector Spaces And Distributions
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Author : John Horvath
language : en
Publisher: Courier Corporation
Release Date : 2013-10-03
Topological Vector Spaces And Distributions written by John Horvath and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-03 with Mathematics categories.
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.
Topological Vector Spaces
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Author : Alex P. Robertson
language : en
Publisher: CUP Archive
Release Date : 1980
Topological Vector Spaces written by Alex P. Robertson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Modern Methods In Topological Vector Spaces
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Author : Albert Wilansky
language : en
Publisher: Courier Corporation
Release Date : 2013-11-26
Modern Methods In Topological Vector Spaces written by Albert Wilansky and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-26 with Mathematics categories.
Geared toward beginning graduate students of mathematics, this text covers Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators, inductive limits, and compactness and barrelled spaces. 1978 edition.
Topological Vector Spaces
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Author : Lawrence Narici
language : en
Publisher: CRC Press
Release Date : 2010-07-26
Topological Vector Spaces written by Lawrence Narici and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-26 with Mathematics categories.
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
Topological Vector Spaces I
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Author : Gottfried Köthe
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Topological Vector Spaces I written by Gottfried Köthe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
It is the author's aim to give a systematic account of the most im portant ideas, methods and results of the theory of topological vector spaces. After a rapid development during the last 15 years, this theory has now achieved a form which makes such an account seem both possible and desirable. This present first volume begins with the fundamental ideas of general topology. These are of crucial importance for the theory that follows, and so it seems necessary to give a concise account, giving complete proofs. This also has the advantage that the only preliminary knowledge required for reading this book is of classical analysis and set theory. In the second chapter, infinite dimensional linear algebra is considered in comparative detail. As a result, the concept of dual pair and linear topologies on vector spaces over arbitrary fields are intro duced in a natural way. It appears to the author to be of interest to follow the theory of these linearly topologised spaces quite far, since this theory can be developed in a way which closely resembles the theory of locally convex spaces. It should however be stressed that this part of chapter two is not needed for the comprehension of the later chapters. Chapter three is concerned with real and complex topological vector spaces. The classical results of Banach's theory are given here, as are fundamental results about convex sets in infinite dimensional spaces.
Topology And Approximate Fixed Points
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Author : Afif Ben Amar
language : en
Publisher: Springer Nature
Release Date : 2022-01-25
Topology And Approximate Fixed Points written by Afif Ben Amar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-25 with Mathematics categories.
This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. Content includes known and recent results in topology (with proofs), as well as recent results in approximate fixed point theory. This work starts with a set of basic notions in topological spaces. Special attention is given to topological vector spaces, locally convex spaces, Banach spaces, and ultrametric spaces. Sequences and function spaces—and fundamental properties of their topologies—are also covered. The reader will find discussions on fundamental principles, namely the Hahn-Banach theorem on extensions of linear (bounded) functionals; the Banach open mapping theorem; the Banach-Steinhaus uniform boundedness principle; and Baire categories, including some applications. Also included are weak topologies and their properties, in particular the theorems of Eberlein-Smulian, Goldstine, Kakutani, James and Grothendieck, reflexive Banach spaces, l_{1}- sequences, Rosenthal's theorem, sequential properties of the weak topology in a Banach space and weak* topology of its dual, and the Fréchet-Urysohn property. The subsequent chapters cover various almost fixed point results, discussing how to reach or approximate the unique fixed point of a strictly contractive mapping of a spherically complete ultrametric space. They also introduce synthetic approaches to fixed point problems involving regular-global-inf functions. The book finishes with a study of problems involving approximate fixed point property on an ambient space with different topologies. By providing appropriate background and up-to-date research results, this book can greatly benefit graduate students and mathematicians seeking to advance in topology and fixed point theory.