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Author : Raymond W. Freese
Publisher : Nova Publishers
ISBN 13 : 9781590330197
Total Pages : 314 pages
Book Rating : 4.3/5 (31 download)
Download or read book Geometry of Linear 2-normed Spaces written by Raymond W. Freese and published by Nova Publishers. This book was released on 2001 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mahlon M. Day
Publisher : Springer Science & Business Media
ISBN 13 : 3662090007
Total Pages : 222 pages
Book Rating : 4.6/5 (62 download)
Download or read book Normed Linear Spaces written by Mahlon M. Day and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charles Chidume
Publisher : Springer Science & Business Media
ISBN 13 : 1848821891
Total Pages : 337 pages
Book Rating : 4.8/5 (488 download)
Download or read book Geometric Properties of Banach Spaces and Nonlinear Iterations written by Charles Chidume and published by Springer Science & Business Media. This book was released on 2009-03-27 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this monograph fall within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: geometric properties of Banach spaces and nonlinear iterations, a topic of intensive research e?orts, especially within the past 30 years, or so. In this theory, some geometric properties of Banach spaces play a crucial role. In the ?rst part of the monograph, we expose these geometric properties most of which are well known. As is well known, among all in?nite dim- sional Banach spaces, Hilbert spaces have the nicest geometric properties. The availability of the inner product, the fact that the proximity map or nearest point map of a real Hilbert space H onto a closed convex subset K of H is Lipschitzian with constant 1, and the following two identities 2 2 2 ||x+y|| =||x|| +2 x,y +||y|| , (?) 2 2 2 2 ||?x+(1??)y|| = ?||x|| +(1??)||y|| ??(1??)||x?y|| , (??) which hold for all x,y? H, are some of the geometric properties that char- terize inner product spaces and also make certain problems posed in Hilbert spaces more manageable than those in general Banach spaces. However, as has been rightly observed by M. Hazewinkel, “... many, and probably most, mathematical objects and models do not naturally live in Hilbert spaces”. Consequently,toextendsomeoftheHilbertspacetechniquestomoregeneral Banach spaces, analogues of the identities (?) and (??) have to be developed.
Author :
Publisher : Elsevier
ISBN 13 : 0080532802
Total Pages : 1017 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of the Geometry of Banach Spaces written by and published by Elsevier. This book was released on 2001-08-15 with total page 1017 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.
Author : L. M. Kelly
Publisher : Springer
ISBN 13 : 3540379460
Total Pages : 257 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Geometry of Metric and Linear Spaces written by L. M. Kelly and published by Springer. This book was released on 2006-11-14 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : Elsevier
ISBN 13 : 0080871798
Total Pages : 321 pages
Book Rating : 4.0/5 (88 download)
Download or read book Introduction to Banach Spaces and their Geometry written by and published by Elsevier. This book was released on 2011-10-10 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Banach Spaces and their Geometry
Author : D. Jude Hemanth
Publisher : Springer Nature
ISBN 13 : 3030361780
Total Pages : 1105 pages
Book Rating : 4.0/5 (33 download)
Download or read book Artificial Intelligence and Applied Mathematics in Engineering Problems written by D. Jude Hemanth and published by Springer Nature. This book was released on 2020-01-03 with total page 1105 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features research presented at the 1st International Conference on Artificial Intelligence and Applied Mathematics in Engineering, held on 20–22 April 2019 at Antalya, Manavgat (Turkey). In today’s world, various engineering areas are essential components of technological innovations and effective real-world solutions for a better future. In this context, the book focuses on problems in engineering and discusses research using artificial intelligence and applied mathematics. Intended for scientists, experts, M.Sc. and Ph.D. students, postdocs and anyone interested in the subjects covered, the book can also be used as a reference resource for courses related to artificial intelligence and applied mathematics.
Author : Margaret Ann Tevis Herzog
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (359 download)
Download or read book Geometry of a Normed Linear Space written by Margaret Ann Tevis Herzog and published by . This book was released on 1959 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mahlon Marsh Day
Publisher : Springer
ISBN 13 : 366225249X
Total Pages : 145 pages
Book Rating : 4.6/5 (622 download)
Download or read book Normed Linear Spaces written by Mahlon Marsh Day and published by Springer. This book was released on 2013-06-29 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a compressed introduction to the study of normed linear spaces and to that part of the theory of linear topological spaces without which the main discussion could not well proceed. Definitions of many terms which are required in passing can be found in the alphabetical index, page 134. Symbols which are used throughout all, or a significant part, of this book are indexed on page 132. Each reference to the bibliography, page 124, is made by means of the author's name, supplemented when necessary by a number in square brackets. The bibliography does not completely cover the available literature, even the most recent; each paper in it is the subject of a specific reference at some point in the text. The writer takes this opportunity to express thanks to the University of Illinois, the National Science Foundation, and the University of Washington, each of which has contributed in some degree to the cultural, financial, or physical support of the writer, and to Mr. R. R. PHELPS, who eradicated many of the errors with which the manuscript was infested.
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 : David G. Luenberger
Publisher : John Wiley & Sons
ISBN 13 : 9780471181170
Total Pages : 348 pages
Book Rating : 4.1/5 (811 download)
Download or read book Optimization by Vector Space Methods written by David G. Luenberger and published by John Wiley & Sons. This book was released on 1997-01-23 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.
Author : Yeol Je Cho
Publisher : Nova Publishers
ISBN 13 :
Total Pages : 350 pages
Book Rating : 4.X/5 (4 download)
Download or read book Theory of 2-inner Product Spaces written by Yeol Je Cho and published by Nova Publishers. This book was released on 2001 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give systematic and comprehensive presentation of theory of n-metric spaces, linear n-normed spaces and n-inner product spaces (and so 2-metric spaces, linear 2-normed spaces and 2-linner product spaces n=2). Since 1963 and 1965, S. Gahler published two papers entitled "2-metrische Raume und ihr topologische Strukhur" and "Lineare 2-normierte Raume", a number of authors have done considerable works on geometric structures of 2-metric spaces and linear 2-normed spaces, and have applied these spaces to several fields of mathematics in many ways. In 1969, S. Gahler introduced also the concept of n metric spaces in a series of his papers entitled "Untersuchungen uber verallemeinerte n-metriscke Raume 1, II, III", which extend the concept of 2-metric spaces to the general case, and provided many properties of topological and geometrical structures. Recently, A. Misiak introduced the concept of n-inner product spaces and extended many results in 2 inner product spaces,which in turn were introduced and studied by C. Diminnie, S. Gahler and A. White, to n-inner product spaces in his doctoral dissertation. This book contains, in short, the latest results on 2-metric spaces and linear 2-normed spaces, 2-inner product spaces, G-inner product spaces, strict convexity and uniform convexity, orthogonal relations, quadratic sets on modules and n-inner product spaces. It is hoped that this book will be devoted to a stimulation of interest in further exploration and to the possible applications in various other branches of mathematics.
Author : Gilles Pisier
Publisher : Cambridge University Press
ISBN 13 : 9780521666350
Total Pages : 270 pages
Book Rating : 4.6/5 (663 download)
Download or read book The Volume of Convex Bodies and Banach Space Geometry written by Gilles Pisier and published by Cambridge University Press. This book was released on 1999-05-27 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained presentation of results relating the volume of convex bodies and Banach space geometry.
Author :
Publisher :
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Simeon Reich
Publisher : World Scientific
ISBN 13 : 1783260211
Total Pages : 372 pages
Book Rating : 4.7/5 (832 download)
Download or read book Nonlinear Semigroups, Fixed Points, And Geometry Of Domains In Banach Spaces written by Simeon Reich and published by World Scientific. This book was released on 2005-07-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces.Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments./a
Author : Gilles Pisier
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889053
Total Pages : 170 pages
Book Rating : 4.8/5 (89 download)
Download or read book Factorization of Linear Operators and Geometry of Banach Spaces written by Gilles Pisier and published by American Mathematical Soc.. This book was released on 1986* with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gergely Ambrus
Publisher : Springer
ISBN 13 : 3662574136
Total Pages : 458 pages
Book Rating : 4.6/5 (625 download)
Download or read book New Trends in Intuitive Geometry written by Gergely Ambrus and published by Springer. This book was released on 2018-11-03 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.
