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Author : Hidegorō Nakano
Publisher :
ISBN 13 :
Total Pages : 508 pages
Book Rating : 4.:/5 (53 download)
Download or read book Modulared Semi-ordered Linear Spaces written by Hidegorō Nakano and published by . This book was released on 1955 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hidegorō Nakano
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.:/5 (34 download)
Download or read book Modulared Semi-ordered Linear Spaces written by Hidegorō Nakano and published by . This book was released on 1950 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Graham Jameson
Publisher : Springer
ISBN 13 : 3540363009
Total Pages : 210 pages
Book Rating : 4.5/5 (43 download)
Download or read book Ordered Linear Spaces written by Graham Jameson and published by Springer. This book was released on 2006-11-15 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Musielak
Publisher : Springer
ISBN 13 : 3540386920
Total Pages : 227 pages
Book Rating : 4.5/5 (43 download)
Download or read book Orlicz Spaces and Modular Spaces written by J. Musielak and published by Springer. This book was released on 2006-11-14 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mahlon M. Day
Publisher : Springer
ISBN 13 : 3662416379
Total Pages : 145 pages
Book Rating : 4.6/5 (624 download)
Download or read book Normed Linear Spaces written by Mahlon M. Day and published by Springer. This book was released on 2013-12-01 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vyacheslav Chistyakov
Publisher : Springer
ISBN 13 : 3319252836
Total Pages : 148 pages
Book Rating : 4.3/5 (192 download)
Download or read book Metric Modular Spaces written by Vyacheslav Chistyakov and published by Springer. This book was released on 2015-12-14 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the modular convergence, whose topology is non-metrizable in general. Metric modular spaces are extensions of metric spaces, metric linear spaces, and classical modular linear spaces. The topics covered include the classification of modulars, metrizability of modular spaces, modular transforms and duality between modular spaces, metric and modular topologies. Applications illustrated in this book include: the description of superposition operators acting in modular spaces, the existence of regular selections of set-valued mappings, new interpretations of spaces of Lipschitzian and absolutely continuous mappings, the existence of solutions to ordinary differential equations in Banach spaces with rapidly varying right-hand sides.
Author : Charalambos D. Aliprantis
Publisher : American Mathematical Soc.
ISBN 13 : 0821834088
Total Pages : 360 pages
Book Rating : 4.8/5 (218 download)
Download or read book Locally Solid Riesz Spaces with Applications to Economics written by Charalambos D. Aliprantis and published by American Mathematical Soc.. This book was released on 2003 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Riesz space (or a vector lattice) is an ordered vector space that is simultaneously a lattice. A topological Riesz space (also called a locally solid Riesz space) is a Riesz space equipped with a linear topology that has a base consisting of solid sets. Riesz spaces and ordered vector spaces play an important role in analysis and optimization. They also provide the natural framework for any modern theory of integration. This monograph is the revised edition of the authors' bookLocally Solid Riesz Spaces (1978, Academic Press). It presents an extensive and detailed study (with complete proofs) of topological Riesz spaces. The book starts with a comprehensive exposition of the algebraic and lattice properties of Riesz spaces and the basic properties of order bounded operatorsbetween Riesz spaces. Subsequently, it introduces and studies locally solid topologies on Riesz spaces-- the main link between order and topology used in this monograph. Special attention is paid to several continuity properties relating the order and topological structures of Riesz spaces, the most important of which are the Lebesgue and Fatou properties. A new chapter presents some surprising applications of topological Riesz spaces to economics. In particular, it demonstrates that theexistence of economic equilibria and the supportability of optimal allocations by prices in the classical economic models can be proven easily using techniques At the end of each chapter there are exercises that complement and supplement the material in the chapter. The last chapter of the book presentscomplete solutions to all exercises. Prerequisites are the fundamentals of real analysis, measure theory, and functional analysis. This monograph will be useful to researchers and graduate students in mathematics. It will also be an important reference tool to mathematical economists and to all scientists and engineers who use order structures in their research.
Author : Romulus Cristescu
Publisher : Routledge
ISBN 13 : 9780856260902
Total Pages : 346 pages
Book Rating : 4.2/5 (69 download)
Download or read book Ordered Vector Spaces and Linear Operators written by Romulus Cristescu and published by Routledge. This book was released on 1976 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Albrecht Pietsch
Publisher : Springer Science & Business Media
ISBN 13 : 0817645969
Total Pages : 877 pages
Book Rating : 4.8/5 (176 download)
Download or read book History of Banach Spaces and Linear Operators written by Albrecht Pietsch and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
Author : Adriaan Cornelis Zaanen
Publisher : Elsevier
ISBN 13 : 0444866264
Total Pages : 734 pages
Book Rating : 4.4/5 (448 download)
Download or read book Riesz Spaces written by Adriaan Cornelis Zaanen and published by Elsevier. This book was released on 1971 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.C. Zaanen
Publisher : Elsevier
ISBN 13 : 0080960189
Total Pages : 733 pages
Book Rating : 4.0/5 (89 download)
Download or read book Riesz Spaces II written by A.C. Zaanen and published by Elsevier. This book was released on 1983-05-01 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: While Volume I (by W.A.J. Luxemburg and A.C. Zaanen, NHML Volume 1, 1971) is devoted to the algebraic aspects of the theory, this volume emphasizes the analytical theory of Riesz spaces and operators between these spaces. Though the numbering of chapters continues on from the first volume, this does not imply that everything covered in Volume I is required for this volume, however the two volumes are to some extent complementary.
Author : Victor Klee
Publisher : American Mathematical Soc.
ISBN 13 : 0821814079
Total Pages : 534 pages
Book Rating : 4.8/5 (218 download)
Download or read book Convexity written by Victor Klee and published by American Mathematical Soc.. This book was released on 1963 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mark Aleksandrovich Krasnoselʹskiĭ
Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.:/5 (319 download)
Download or read book Convex Functions and Orlicz Spaces written by Mark Aleksandrovich Krasnoselʹskiĭ and published by . This book was released on 1960 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. J. Grobler
Publisher : Springer Science & Business Media
ISBN 13 : 3034601743
Total Pages : 301 pages
Book Rating : 4.0/5 (346 download)
Download or read book Operator Algebras, Operator Theory and Applications written by J. J. Grobler and published by Springer Science & Business Media. This book was released on 2009-12-24 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the eighteenth International Workshop on Operator Theory and Applications (IWOTA), hosted by the Unit for Business Mathematics and Informatics of North-West University, Potchefstroom, South Africa from July 3 to 6, 2007. The conference (as well as these proceedings) was dedicated to Professors Joseph A. Ball and Marinus M. Kaashoek on the occasion of their 60th and 70th birthdays, respectively. This conference had a particular focus on Von Neumann algebras at the interface of operator theory with functional analysis and on applications of operator theory to differential equations.
Author : C.B. Huijsmans
Publisher : Birkhäuser
ISBN 13 : 3034890761
Total Pages : 309 pages
Book Rating : 4.0/5 (348 download)
Download or read book Operator Theory in Function Spaces and Banach Lattices written by C.B. Huijsmans and published by Birkhäuser. This book was released on 2012-12-06 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to A.C. Zaanen, one of the pioneers of functional analysis, and eminent expert in modern integration theory and the theory of vector lattices, on the occasion of his 80th birthday. The book opens with biographical notes, including Zaanen's curriculum vitae and list of publications. It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory. Special attention is paid to the spectral theory of operators on Banach lattices; in particular, to the one of positive operators. Classes of integral operators arising in systems theory, optimization and best approximation problems, and evolution equations are also discussed. The book will appeal to a wide range of readers engaged in pure and applied mathematics.
Author : Mohamed A. Khamsi
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527546128
Total Pages : 401 pages
Book Rating : 4.5/5 (275 download)
Download or read book New Trends in Analysis and Geometry written by Mohamed A. Khamsi and published by Cambridge Scholars Publishing. This book was released on 2020-01-24 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique mathematical volume brings together geometers, analysts, differential equations specialists and graph-theorists to provide a glimpse on recent mathematical trends whose commonalities have hitherto remained, for the most part, unnoticed. The applied mathematician will be pleasantly surprised with the interpretation of a voting system in terms of the fixed points of a mapping given in the book, as much as the classical analyst will be enthusiastic to find detailed discussions on the generalization of the notion of metric space, in which the metric takes values on an abstract monoid. Classical themes on fixed point theory are adapted to the diverse setting of graph theory, thus uncovering a set of tools whose power and versatility will be appreciated by mathematicians working on either area. The volume also includes recent results on variable exponent spaces which reveal much-needed connections with partial differential equations, while the incipient field of variational inequalities on manifolds, also explored here, will be of interest to researchers from a variety of fields.
Author : Michael A. Dritschel
Publisher : Springer Science & Business Media
ISBN 13 : 3764379804
Total Pages : 405 pages
Book Rating : 4.7/5 (643 download)
Download or read book The Extended Field of Operator Theory written by Michael A. Dritschel and published by Springer Science & Business Media. This book was released on 2007-06-25 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles expertly cover a broad range of material at the cutting edge of functional analysis and its applications. The works are written by world authorities in their specialities.
