Functional Analysis In Normed Spaces
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Functional Analysis In Normed Spaces
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Author : Leonid Vitalʹevich Kantorovich
language : en
Publisher:
Release Date : 1964
Functional Analysis In Normed Spaces written by Leonid Vitalʹevich Kantorovich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Functional analysis categories.
Functional Analysis
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Author : L. V. Kantorovich
language : en
Publisher: Elsevier
Release Date : 2016-02-16
Functional Analysis written by L. V. Kantorovich and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-16 with Mathematics categories.
Functional Analysis, Second Edition is an exposition of the theory of topological vector spaces, partially ordered spaces, and the development of the theory of integral operators and their representations on ideal spaces of measurable functions. Although this edition has deviated substantially from the first edition, it has still retained the overall plan, selection, and arrangement of the topics. The text is primarily devoted to the applications of functional analysis to applied analysis. However, these concepts have been extended and modernized. Some topics of functional analysis connected with applications to mathematical economics and control theory are also included in this edition. The applications of functional analysis are both wide and far-reaching as these are common language for all areas of mathematics involving the concept of continuity. Those who are in the field of mathematics, mechanics, and theoretical physics will find this book a valuable resource.
Functional Analysis In Asymmetric Normed Spaces
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Author : Stefan Cobzas
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-30
Functional Analysis In Asymmetric Normed Spaces written by Stefan Cobzas 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 2012-10-30 with Mathematics categories.
An asymmetric norm is a positive definite sublinear functional p on a real vector space X. The topology generated by the asymmetric norm p is translation invariant so that the addition is continuous, but the asymmetry of the norm implies that the multiplication by scalars is continuous only when restricted to non-negative entries in the first argument. The asymmetric dual of X, meaning the set of all real-valued upper semi-continuous linear functionals on X, is merely a convex cone in the vector space of all linear functionals on X. In spite of these differences, many results from classical functional analysis have their counterparts in the asymmetric case, by taking care of the interplay between the asymmetric norm p and its conjugate. Among the positive results one can mention: Hahn–Banach type theorems and separation results for convex sets, Krein–Milman type theorems, analogs of the fundamental principles – open mapping, closed graph and uniform boundedness theorems – an analog of the Schauder’s theorem on the compactness of the conjugate mapping. Applications are given to best approximation problems and, as relevant examples, one considers normed lattices equipped with asymmetric norms and spaces of semi-Lipschitz functions on quasi-metric spaces. Since the basic topological tools come from quasi-metric spaces and quasi-uniform spaces, the first chapter of the book contains a detailed presentation of some basic results from the theory of these spaces. The focus is on results which are most used in functional analysis – completeness, compactness and Baire category – which drastically differ from those in metric or uniform spaces. The book is fairly self-contained, the prerequisites being the acquaintance with the basic results in topology and functional analysis, so it may be used for an introduction to the subject. Since new results, in the focus of current research, are also included, researchers in the area can use it as a reference text.
Introduction To The Analysis Of Normed Linear Spaces
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Author : J. R. Giles
language : en
Publisher: Cambridge University Press
Release Date : 2000-03-13
Introduction To The Analysis Of Normed Linear Spaces written by J. R. Giles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-13 with Mathematics categories.
This is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. The reader need only be familiarity with elementary real and complex analysis, linear algebra and have studied a course in the analysis of metric spaces; knowledge of integration theory or general topology is not required. The text concerns the structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. The implications of the general theory are illustrated with a great variety of example spaces.
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Author :
language : en
Publisher:
Release Date : 1957
written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957 with categories.
Functional Analysis
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Author : Leonid Vitalʹevich Kantorovich
language : en
Publisher: Pergamon
Release Date : 1982
Functional Analysis written by Leonid Vitalʹevich Kantorovich and has been published by Pergamon this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Classical Analysis On Normed Spaces
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Author : Tsoy-Wo Ma
language : en
Publisher: World Scientific
Release Date : 1995
Classical Analysis On Normed Spaces written by Tsoy-Wo Ma and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
This book provides an elementary introduction to the classical analysis on normed spaces, paying special attention to nonlinear topics such as fixed points, calculus and ordinary differential equations. It is aimed at beginners who want to get through the basic material as soon as possible and then move on to do their own research immediately. It assumes only general knowledge in finite-dimensional linear algebra, simple calculus and elementary complex analysis. Since the treatment is self-contained with sufficient details, even an undergraduate with mathematical maturity should have no problem working through it alone. Various chapters can be integrated into parts of a Master degree program by course work organized by any regional university. Restricted to finite-dimensional spaces rather than normed spaces, selected chapters can be used for a course in advanced calculus. Engineers and physicists may find this book a handy reference in classical analysis.
Elements Of The Theory Of Functions And Functional Analysis 1 Metric And Normed Spaces
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Author : Andrej N. Kolmogorov
language : en
Publisher:
Release Date : 1963
Elements Of The Theory Of Functions And Functional Analysis 1 Metric And Normed Spaces written by Andrej N. Kolmogorov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
Functional Analysis
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Author : Joseph Muscat
language : en
Publisher: Springer Nature
Release Date :
Functional Analysis written by Joseph Muscat and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Elements Of The Theory Of Functions And Functional Analysis Metric And Normed Spaces V 2 Measure The Lebesgue Integral Hilbert Space
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Author : Andreĭ Nikolaevich Kolmogorov
language : en
Publisher:
Release Date : 1963
Elements Of The Theory Of Functions And Functional Analysis Metric And Normed Spaces V 2 Measure The Lebesgue Integral Hilbert Space written by Andreĭ Nikolaevich Kolmogorov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Functional analysis categories.