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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 : Romulus Cristescu
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (476 download)
Download or read book Ordered Vector Spaces and Linear Operator written by Romulus Cristescu and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anthony L. Peressini
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.:/5 (44 download)
Download or read book Ordered Topological Vector Spaces written by Anthony L. Peressini and published by . This book was released on 1967 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Adriaan C. Zaanen
Publisher : Springer Science & Business Media
ISBN 13 : 3642606377
Total Pages : 312 pages
Book Rating : 4.6/5 (426 download)
Download or read book Introduction to Operator Theory in Riesz Spaces written by Adriaan C. Zaanen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the beginning of the thirties a considerable number of books on func tional analysis has been published. Among the first ones were those by M. H. Stone on Hilbert spaces and by S. Banach on linear operators, both from 1932. The amount of material in the field of functional analysis (in cluding operator theory) has grown to such an extent that it has become impossible now to include all of it in one book. This holds even more for text books. Therefore, authors of textbooks usually restrict themselves to normed spaces (or even to Hilbert space exclusively) and linear operators in these spaces. In more advanced texts Banach algebras and (or) topological vector spaces are sometimes included. It is only rarely, however, that the notion of order (partial order) is explicitly mentioned (even in more advanced exposi tions), although order structures occur in a natural manner in many examples (spaces of real continuous functions or spaces of measurable function~). This situation is somewhat surprising since there exist important and illuminating results for partially ordered vector spaces, in . particular for the case that the space is lattice ordered. Lattice ordered vector spaces are called vector lattices or Riesz spaces. The first results go back to F. Riesz (1929 and 1936), L. Kan torovitch (1935) and H. Freudenthal (1936).
Author : T. Husain
Publisher : Springer
ISBN 13 : 3540355596
Total Pages : 267 pages
Book Rating : 4.5/5 (43 download)
Download or read book Barrelledness in Topological and Ordered Vector Spaces written by T. Husain and published by Springer. This book was released on 2006-11-15 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Winston Bunce
Publisher :
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4.:/5 (158 download)
Download or read book Partially Ordered Vector Spaces and Operator Algebras ... written by John Winston Bunce and published by . This book was released on 1969 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mikhail Popov
Publisher : Walter de Gruyter
ISBN 13 : 3110263343
Total Pages : 336 pages
Book Rating : 4.1/5 (12 download)
Download or read book Narrow Operators on Function Spaces and Vector Lattices written by Mikhail Popov and published by Walter de Gruyter. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most classes of operators that are not isomorphic embeddings are characterized by some kind of a “smallness” condition. Narrow operators are those operators defined on function spaces that are “small” at {-1,0,1}-valued functions, e.g. compact operators are narrow. The original motivation to consider such operators came from theory of embeddings of Banach spaces, but since then they were also applied to the study of the Daugavet property and to other geometrical problems of functional analysis. The question of when a sum of two narrow operators is narrow, has led to deep developments of the theory of narrow operators, including an extension of the notion to vector lattices and investigations of connections to regular operators. Narrow operators were a subject of numerous investigations during the last 30 years. This monograph provides a comprehensive presentation putting them in context of modern theory. It gives an in depth systematic exposition of concepts related to and influenced by narrow operators, starting from basic results and building up to most recent developments. The authors include a complete bibliography and many attractive open problems.
Author : Telma Caputti
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.F/5 ( download)
Download or read book Nonsmooth Analysis on Partially Ordered Vector Spaces written by Telma Caputti and published by . This book was released on 1986 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Romulus Cristescu
Publisher :
ISBN 13 :
Total Pages : 339 pages
Book Rating : 4.:/5 (82 download)
Download or read book Ordered Vector Spaces and Linear Operations written by Romulus Cristescu and published by . This book was released on 1976 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yau-Chuen Wong
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (45 download)
Download or read book Partially Ordered Topological Vector Spaces written by Yau-Chuen Wong and published by Oxford University Press, USA. This book was released on 1973 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Octav Olteanu
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527585050
Total Pages : 180 pages
Book Rating : 4.5/5 (275 download)
Download or read book Convexity, Extension of Linear Operators, Approximation and Applications written by Octav Olteanu and published by Cambridge Scholars Publishing. This book was released on 2022-07-26 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book emphasizes some basic results in functional and classical analysis, including Hahn-Banach-type theorems, the Markov moment problem, polynomial approximation on unbounded subsets, convexity and convex optimization, elements of operator theory, a global method for convex monotone operators and a connection with the contraction principle. It points out the connection between linear continuous operators and convex continuous operators, and establishes their relationships with other fields of mathematics and physics. The book will appeal to students, PhD aspirants, researchers, professors, engineers, and any reader interested in mathematical analysis or its applications.
Author : Anke Kalauch
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110475448
Total Pages : 314 pages
Book Rating : 4.1/5 (14 download)
Download or read book Pre-Riesz Spaces written by Anke Kalauch and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-19 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops the theory of pre-Riesz spaces, which are the partially ordered vector spaces that embed order densely into Riesz spaces. Concepts from Riesz space theory such as disjointness, ideals, and bands are extended to pre-Riesz spaces. The analysis revolves around embedding techniques, including the Riesz completion and the functional representation. In the same spirit, norms and topologies on a pre-Riesz space and their extensions to the Riesz completion are examined. The generalized concepts are used to investigate disjointness preserving operators on pre-Riesz spaces and related notions. The monograph presents recent results as well as being an accessible introduction to the theory of partially ordered vector spaces and positive operators. Contents A primer on ordered vector spaces Embeddings, covers, and completions Seminorms on pre-Riesz spaces Disjointness, bands, and ideals in pre-Riesz spaces Operators on pre-Riesz spaces
Author : H.H. Schaefer
Publisher : Springer Science & Business Media
ISBN 13 : 1461214688
Total Pages : 362 pages
Book Rating : 4.4/5 (612 download)
Download or read book Topological Vector Spaces written by H.H. Schaefer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended as a systematic text on topological vector spaces, this text assumes familiarity with the elements of general topology and linear algebra. Similarly, the elementary facts on Hilbert and Banach spaces are not discussed in detail here, since the book is mainly addressed to those readers who wish to go beyond the introductory level. Each of the chapters is preceded by an introduction and followed by exercises, which in turn are devoted to further results and supplements, in particular, to examples and counter-examples, and hints have been given where appropriate. This second edition has been thoroughly revised and includes a new chapter on C^* and W^* algebras.
Author : T. Husain
Publisher :
ISBN 13 : 9783662190449
Total Pages : 276 pages
Book Rating : 4.1/5 (94 download)
Download or read book Barrelledness in Topological and Ordered Vector Spaces written by T. Husain and published by . This book was released on 2014-01-15 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.G. Kusraev
Publisher : Springer Science & Business Media
ISBN 13 : 9401593493
Total Pages : 456 pages
Book Rating : 4.4/5 (15 download)
Download or read book Dominated Operators written by A.G. Kusraev and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Meighan I. Dillon
Publisher : American Mathematical Society
ISBN 13 : 1470469863
Total Pages : 395 pages
Book Rating : 4.4/5 (74 download)
Download or read book Linear Algebra written by Meighan I. Dillon and published by American Mathematical Society. This book was released on 2022-10-14 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is directed towards students who are familiar with matrices and their use in solving systems of linear equations. The emphasis is on the algebra supporting the ideas that make linear algebra so important, both in theoretical and practical applications. The narrative is written to bring along students who may be new to the level of abstraction essential to a working understanding of linear algebra. The determinant is used throughout, placed in some historical perspective, and defined several different ways, including in the context of exterior algebras. The text details proof of the existence of a basis for an arbitrary vector space and addresses vector spaces over arbitrary fields. It develops LU-factorization, Jordan canonical form, and real and complex inner product spaces. It includes examples of inner product spaces of continuous complex functions on a real interval, as well as the background material that students may need in order to follow those discussions. Special classes of matrices make an entrance early in the text and subsequently appear throughout. The last chapter of the book introduces the classical groups.
Author : Melvin Hausner
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (385 download)
Download or read book Ordered Vector Spaces written by Melvin Hausner and published by . This book was released on 1952 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
