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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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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 : 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:
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 : 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 : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 1480 pages
Book Rating : 4.:/5 (3 download)
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2013 with total page 1480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anke Kalauch
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110476290
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 : Y.-C. Wong
Publisher : Springer
ISBN 13 : 3540382682
Total Pages : 169 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Topology of Uniform Convergence on Order-Bounded Sets written by Y.-C. Wong and published by Springer. This book was released on 2006-11-14 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Charalambos D. Aliprantis
Publisher : Springer Science & Business Media
ISBN 13 : 1402050089
Total Pages : 389 pages
Book Rating : 4.4/5 (2 download)
Download or read book Positive Operators written by Charalambos D. Aliprantis and published by Springer Science & Business Media. This book was released on 2006-10-21 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprinted by popular demand, this monograph presents a comprehensive study of positive operators between Riesz spaces and Banach lattices. Since publication of this book in 1985, the subject of positive operators and Riesz spaces has found practical applications in disciplines including social sciences and engineering. This book examines positive operators in the setting of Riesz spaces and Banach lattices, from both the algebraic and topological points of view.
