Characterizations of Some Functions of Categories of Banach Spaces PDF Download
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Author: Pothoven K.
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 122
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Book Description
Author: Pothoven K.
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 122
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Book Description
Author: P.W. Michor
Publisher: Springer
ISBN: 3540358471
Category : Mathematics
Languages : en
Pages : 104
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Book Description
Author: P W Michor
Publisher: Springer
ISBN: 9783662183472
Category :
Languages : en
Pages : 112
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Book Description
Author: Johann Cigler
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 316
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Book Description
Author: Jochen Wengenroth
Publisher: Springer Science & Business Media
ISBN: 9783540002369
Category : Mathematics
Languages : en
Pages : 74
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Book Description
The text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Fréchet and more general spaces. The researcher in real and complex analysis finds powerful tools to solve surjectivity problems e.g. on spaces of distributions or to characterize the existence of solution operators. The requirements from homological algebra are minimized: all one needs is summarized on a few pages. The answers to several questions of V.P. Palamodov who invented homological methods in analysis also show the limits of the program.
Author:
Publisher:
ISBN: 9780387087641
Category : Banach spaces
Languages : en
Pages : 99
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Book Description
Author: Lionel Thibault
Publisher: World Scientific
ISBN: 981125818X
Category : Mathematics
Languages : en
Pages : 1629
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Book Description
The monograph provides a detailed and comprehensive presentation of the rich and beautiful theory of unilateral variational analysis in infinite dimensions. It is divided into two volumes named Part I and Part II. Starting with the convergence of sets and the semilimits and semicontinuities of multimappings, the first volume develops the theories of tangent cones, of subdifferentials, of convexity and duality in locally convex spaces, of extended mean value inequalities in absence of differentiability, of metric regularity, of constrained optimization problems.The second volume is devoted to special classes of non-smooth functions and sets. It expands the theory of subsmooth functions and sets, of semiconvex functions and multimappings, of primal lower regular functions, of singularities of non-smooth mappings, of prox-regular functions and sets in general spaces, of differentiability of projection mapping and others for prox-regular sets. Both volumes I and II contain, for each chapter, extensive comments covering related developments and historical comments.Connected area fields of the material are: optimization, optimal control, variational inequalities, differential inclusions, mechanics, economics. The book is intended for PhD students, researchers, and practitioners using unilateral variational analysis tools.
Author: Dick Dulst
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 178
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Book Description
Author: Robert E. Megginson
Publisher: Springer Science & Business Media
ISBN: 1461206030
Category : Mathematics
Languages : en
Pages : 613
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Book Description
Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the basic properties of L p spaces. It is sprinkled liberally with examples, historical notes, citations, and original sources, and over 450 exercises provide practice in the use of the results developed in the text through supplementary examples and counterexamples.
Author: Ştefan Cobzaş
Publisher: Springer
ISBN: 3030164896
Category : Mathematics
Languages : en
Pages : 605
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Book Description
The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz functions and relations with other classes of functions, extension results for Lipschitz functions and Lipschitz partitions of unity, Lipschitz free Banach spaces and their applications, compactness properties of Lipschitz operators, Bishop-Phelps type results for Lipschitz functionals, applications to best approximation in metric and in metric linear spaces, Kantorovich-Rubinstein norm and applications to duality in the optimal transport problem, Lipschitz mappings on geodesic spaces. The prerequisites are basic results in real analysis, functional analysis, measure theory (including vector measures) and topology, which, for reader's convenience, are surveyed in the first chapter of the book.
