Kernels And Integral Operators For Continuous Sums Of Banach Spaces
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Kernels And Integral Operators For Continuous Sums Of Banach Spaces
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Author : Irwin E. Schochetman
language : en
Publisher: American Mathematical Soc.
Release Date : 1978
Kernels And Integral Operators For Continuous Sums Of Banach Spaces written by Irwin E. Schochetman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
The purpose of this memoir is twofold: to extend the notions of kernel and integral operator to the context of continuous sums of Banach spaces; and to extend to this setting, certain well-known conditions for an integral operator to be compact, Hilbert-Schmidt and trace-class.
Kernels And Integral Operators For Continuous Sums Of Banach Spaces
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Author : Irwin E. Schochetman
language : en
Publisher:
Release Date : 1978
Kernels And Integral Operators For Continuous Sums Of Banach Spaces written by Irwin E. Schochetman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Banach spaces categories.
Integral Operators In The Theory Of Induced Banach Representations
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Author : Irwin E. Schochetman
language : en
Publisher: American Mathematical Soc.
Release Date : 1978
Integral Operators In The Theory Of Induced Banach Representations written by Irwin E. Schochetman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
The primary purpose of this memoir is to give a realization of the representation [italic]U of a locally compact group [italic]G, induced from a representation [italic]L of a closed subgroup [italic]H, on a continuous sum of Banach spaces over the coset space [italic]G/[italic]H.
Kernels And Integral Operators For Continuous Sums Of Banach Spaces Continuous Sums Of Banach Spaces
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Author : Irwin E. Schochetman
language : en
Publisher:
Release Date : 1978
Kernels And Integral Operators For Continuous Sums Of Banach Spaces Continuous Sums Of Banach Spaces written by Irwin E. Schochetman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Kernels Ang Integral Operators For Continuous Sums Of Banach Spaces
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Author :
language : en
Publisher:
Release Date : 1978
Kernels Ang Integral Operators For Continuous Sums Of Banach Spaces written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Banach spaces categories.
Dominated Operators
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Author : A.G. Kusraev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Dominated Operators written by A.G. Kusraev 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 2013-03-09 with Mathematics categories.
The notion of a dominated or rnajorized operator rests on a simple idea that goes as far back as the Cauchy method of majorants. Loosely speaking, the idea can be expressed as follows. If an operator (equation) under study is dominated by another operator (equation), called a dominant or majorant, then the properties of the latter have a substantial influence on the properties of the former . Thus, operators or equations that have "nice" dominants must possess "nice" properties. In other words, an operator with a somehow qualified dominant must be qualified itself. Mathematical tools, putting the idea of domination into a natural and complete form, were suggested by L. V. Kantorovich in 1935-36. He introduced the funda mental notion of a vector space normed by elements of a vector lattice and that of a linear operator between such spaces which is dominated by a positive linear or monotone sublinear operator. He also applied these notions to solving functional equations. In the succeedingyears many authors studied various particular cases of lattice normed spaces and different classes of dominated operators. However, research was performed within and in the spirit of the theory of vector and normed lattices. So, it is not an exaggeration to say that dominated operators, as independent objects of investigation, were beyond the reach of specialists for half a century. As a consequence, the most important structural properties and some interesting applications of dominated operators have become available since recently.
Nonstandard Analysis And Vector Lattices
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Author : Semën Samsonovich Kutateladze
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonstandard Analysis And Vector Lattices written by Semën Samsonovich Kutateladze 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.
Nonstandard methods of analysis consist generally in comparative study of two interpretations of a mathematical claim or construction given as a formal symbolic expression by means of two different set-theoretic models: one, a "standard" model and the other, a "nonstandard" model. The second half of the twentieth century is a period of significant progress in these methods and their rapid development in a few directions. The first of the latter appears often under the name coined by its inventor, A. Robinson. This memorable but slightly presumptuous and defiant term, non standard analysis, often swaps places with the term Robinsonian or classical non standard analysis. The characteristic feature of Robinsonian analysis is a frequent usage of many controversial concepts appealing to the actual infinitely small and infinitely large quantities that have resided happily in natural sciences from ancient times but were strictly forbidden in modern mathematics for many decades. The present-day achievements revive the forgotten term infinitesimal analysis which reminds us expressively of the heroic bygones of Calculus. Infinitesimal analysis expands rapidly, bringing about radical reconsideration of the general conceptual system of mathematics. The principal reasons for this progress are twofold. Firstly, infinitesimal analysis provides us with a novel under standing for the method of indivisibles rooted deeply in the mathematical classics.
Reviews In Operator Theory 1980 86
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Author : Paul Richard Halmos
language : en
Publisher:
Release Date : 1989
Reviews In Operator Theory 1980 86 written by Paul Richard Halmos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Operator theory categories.
Subject Catalog 1978
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Author : Library of Congress
language : en
Publisher:
Release Date : 1978
Subject Catalog 1978 written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Library catalogs categories.
Handbook Of Mathematics
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Author : Thierry Vialar
language : en
Publisher: BoD - Books on Demand
Release Date : 2016-12-07
Handbook Of Mathematics written by Thierry Vialar and has been published by BoD - Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-07 with Mathematics categories.
The book consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII .Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.