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Author :
Publisher : Elsevier
ISBN 13 : 0080871372
Total Pages : 157 pages
Book Rating : 4.0/5 (88 download)
Download or read book Bornologies and Functional Analysis written by and published by Elsevier. This book was released on 1977-01-01 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bornologies and Functional Analysis
Author : Gerald Beer
Publisher : CRC Press
ISBN 13 : 1000884309
Total Pages : 243 pages
Book Rating : 4.0/5 (8 download)
Download or read book Bornologies and Lipschitz Analysis written by Gerald Beer and published by CRC Press. This book was released on 2023-05-15 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subsets of its members. The largest bornology is the power set of the space and the smallest is the bornology of its finite subsets. Between these lie (among others) the metrically bounded subsets, the relatively compact subsets, the totally bounded subsets, and the Bourbaki bounded subsets. Classes of functions are intimately connected to various bornologies; e.g., (1) a function is locally Lipschitz if and only if its restriction to each relatively compact subset is Lipschitz; (2) a subset is Bourbaki bounded if and only if each uniformly continuous function on the space is bounded when restricted to the subset. A great deal of attention is given to the variational notions of strong uniform continuity and strong uniform convergence with respect to the members of a bornology, leading to the bornology of UC-subsets and UC-spaces. Spaces on which its uniformly continuous real-valued functions are stable under pointwise product are characterized in terms of the coincidence of the Bourbaki bounded subsets with a usually larger bornology. Special attention is given to Lipschitz and locally Lipschitz functions. For example, uniformly dense subclasses of locally Lipschitz functions within the real-valued continuous functions, Cauchy continuous functions, and uniformly continuous functions are presented. It is shown very generally that a function between metric spaces has a particular metric property if and only if whenever it is followed in a composition by a real-valued Lipschitz function, the composition has the property. Bornological convergence of nets of closed subsets, having Attouch-Wets convergence as a prototype, is considered in detail. Topologies of uniform convergence for continuous linear operators between normed spaces is explained in terms of the bornological convergence of their graphs. Finally, the idea of a bornological extension of a topological space is presented, and all regular extensions can be so realized.
Author : S. Machado
Publisher : Springer
ISBN 13 : 3540385290
Total Pages : 647 pages
Book Rating : 4.5/5 (43 download)
Download or read book Functional Analysis, Holomorphy, and Approximation Theory written by S. Machado and published by Springer. This book was released on 2006-11-15 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Beattie
Publisher : Springer Science & Business Media
ISBN 13 : 9401599424
Total Pages : 272 pages
Book Rating : 4.4/5 (15 download)
Download or read book Convergence Structures and Applications to Functional Analysis written by R. Beattie and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a rigorous introduction into the theory and methods of convergence spaces and gives concrete applications to the problems of functional analysis. While there are a few books dealing with convergence spaces and a great many on functional analysis, there are none with this particular focus. The book demonstrates the applicability of convergence structures to functional analysis. Highlighted here is the role of continuous convergence, a convergence structure particularly appropriate to function spaces. It is shown to provide an excellent dual structure for both topological groups and topological vector spaces. Readers will find the text rich in examples. Of interest, as well, are the many filter and ultrafilter proofs which often provide a fresh perspective on a well-known result. Audience: This text will be of interest to researchers in functional analysis, analysis and topology as well as anyone already working with convergence spaces. It is appropriate for senior undergraduate or graduate level students with some background in analysis and topology.
Author : Semën Samsonovich Kutateladze
Publisher : Springer Science & Business Media
ISBN 13 : 9401587558
Total Pages : 289 pages
Book Rating : 4.4/5 (15 download)
Download or read book Fundamentals of Functional Analysis written by Semën Samsonovich Kutateladze and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: to the English Translation This is a concise guide to basic sections of modern functional analysis. Included are such topics as the principles of Banach and Hilbert spaces, the theory of multinormed and uniform spaces, the Riesz-Dunford holomorphic functional calculus, the Fredholm index theory, convex analysis and duality theory for locally convex spaces. With standard provisos the presentation is self-contained, exposing about a h- dred famous "named" theorems furnished with complete proofs and culminating in the Gelfand-Nalmark-Segal construction for C*-algebras. The first Russian edition was printed by the Siberian Division of "Nauka" P- lishers in 1983. Since then the monograph has served as the standard textbook on functional analysis at the University of Novosibirsk. This volume is translated from the second Russian edition printed by the Sobolev Institute of Mathematics of the Siberian Division of the Russian Academy of Sciences· in 1995. It incorporates new sections on Radon measures, the Schwartz spaces of distributions, and a supplementary list of theoretical exercises and problems. This edition was typeset using AMS-'lEX, the American Mathematical Society's 'lEX system. To clear my conscience completely, I also confess that := stands for the definor, the assignment operator, signifies the end of the proof.
Author : J.A. Barroso
Publisher : Elsevier
ISBN 13 : 0080871828
Total Pages : 495 pages
Book Rating : 4.0/5 (88 download)
Download or read book Functional Analysis, Holomorphy and Approximation Theory written by J.A. Barroso and published by Elsevier. This book was released on 2011-08-30 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional Analysis, Holomorphy and Approximation Theory
Author : Guido I. Zapata
Publisher : CRC Press
ISBN 13 : 1000154122
Total Pages : 476 pages
Book Rating : 4.0/5 (1 download)
Download or read book Functional Analysis, Holomorphy, and Approximation Theory written by Guido I. Zapata and published by CRC Press. This book was released on 2020-12-22 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers on complex analysis, function spaces, harmonic analysis, and operators, presented at the International seminar on Functional Analysis, Holomorphy, and Approximation Theory held in 1979. It is addressed to mathematicians and advanced graduate students in mathematics.
Author : José M. Amigó
Publisher : Springer Nature
ISBN 13 : 3031300149
Total Pages : 273 pages
Book Rating : 4.0/5 (313 download)
Download or read book Functional Analysis and Continuous Optimization written by José M. Amigó and published by Springer Nature. This book was released on 2023-07-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book includes selected contributions presented at the "International Meeting on Functional Analysis and Continuous Optimization" held in Elche (Spain) on June 16–17, 2022. Its contents cover very recent results in functional analysis, continuous optimization and the interplay between these disciplines. Therefore, this book showcases current research on functional analysis and optimization with individual contributions, as well as new developments in both areas. As a result, the reader will find useful information and stimulating ideas.
Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 1105141004
Total Pages : 450 pages
Book Rating : 4.1/5 (51 download)
Download or read book History of Mathematics in Africa: 2000-2011 written by Paulus Gerdes and published by Lulu.com. This book was released on 2011 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ralf Meyer
Publisher : European Mathematical Society
ISBN 13 : 9783037190395
Total Pages : 376 pages
Book Rating : 4.1/5 (93 download)
Download or read book Local and Analytic Cyclic Homology written by Ralf Meyer and published by European Mathematical Society. This book was released on 2007 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Periodic cyclic homology is a homology theory for non-commutative algebras that plays a similar role in non-commutative geometry as de Rham cohomology for smooth manifolds. While it produces good results for algebras of smooth or polynomial functions, it fails for bigger algebras such as most Banach algebras or C*-algebras. Analytic and local cyclic homology are variants of periodic cyclic homology that work better for such algebras. In this book, the author develops and compares these theories, emphasizing their homological properties. This includes the excision theorem, invariance under passage to certain dense subalgebras, a Universal Coefficient Theorem that relates them to $K$-theory, and the Chern-Connes character for $K$-theory and $K$-homology. The cyclic homology theories studied in this text require a good deal of functional analysis in bornological vector spaces, which is supplied in the first chapters. The focal points here are the relationship with inductive systems and the functional calculus in non-commutative bornological algebras. Some chapters are more elementary and independent of the rest of the book and will be of interest to researchers and students working on functional analysis and its applications.
Author : Michael Ruzhansky
Publisher : CRC Press
ISBN 13 : 1351142119
Total Pages : 588 pages
Book Rating : 4.3/5 (511 download)
Download or read book Advanced Topics in Mathematical Analysis written by Michael Ruzhansky and published by CRC Press. This book was released on 2019-01-08 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance to contemporary research.
Author : J.F. Colombeau
Publisher : Elsevier
ISBN 13 : 0080871755
Total Pages : 469 pages
Book Rating : 4.0/5 (88 download)
Download or read book Differential Calculus and Holomorphy written by J.F. Colombeau and published by Elsevier. This book was released on 2011-08-18 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Calculus and Holomorphy
Author :
Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.:/5 (43 download)
Download or read book Reviews in Functional Analysis, 1980-86 written by and published by . This book was released on 1989 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Hogbe-Nlend
Publisher : Elsevier
ISBN 13 : 0080871631
Total Pages : 287 pages
Book Rating : 4.0/5 (88 download)
Download or read book Nuclear and Conuclear Spaces written by H. Hogbe-Nlend and published by Elsevier. This book was released on 2011-08-18 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear and Conuclear Spaces
Author : Janusz Kacprzyk
Publisher : Springer
ISBN 13 : 3319668277
Total Pages : 613 pages
Book Rating : 4.3/5 (196 download)
Download or read book Advances in Fuzzy Logic and Technology 2017 written by Janusz Kacprzyk and published by Springer. This book was released on 2017-08-29 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of two collocated international conferences: EUSFLAT-2017 – the 10th edition of the flagship Conference of the European Society for Fuzzy Logic and Technology held in Warsaw, Poland, on September 11–15, 2017, and IWIFSGN’2017 – The Sixteenth International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets, held in Warsaw on September 13–15, 2017. The conferences were organized by the Systems Research Institute, Polish Academy of Sciences, Department IV of Engineering Sciences, Polish Academy of Sciences, and the Polish Operational and Systems Research Society in collaboration with the European Society for Fuzzy Logic and Technology (EUSFLAT), the Bulgarian Academy of Sciences and various European universities. The aim of the EUSFLAT-2017 was to bring together theoreticians and practitioners working on fuzzy logic, fuzzy systems, soft computing and related areas and to provide a platform for exchanging ideas and discussing the l atest trends and ideas, while the aim of IWIFSGN’2017 was to discuss new developments in extensions of the concept of a fuzzy set, such as an intuitionistic fuzzy set, as well as other concepts, like that of a generalized net. The papers included, written by leading international experts, as well as the special sessions and panel discussions contribute to the development the field, strengthen collaborations and intensify networking.
Author : H. Hogbe-Nlend
Publisher :
ISBN 13 :
Total Pages : 398 pages
Book Rating : 4.:/5 (44 download)
Download or read book Functional Analysis and Its Applications written by H. Hogbe-Nlend and published by . This book was released on 1988 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : B. Banaschewski
Publisher : Springer
ISBN 13 : 3540390413
Total Pages : 395 pages
Book Rating : 4.5/5 (43 download)
Download or read book Categorical Aspects of Topology and Analysis written by B. Banaschewski and published by Springer. This book was released on 2006-11-14 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt:
