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On Sets Of Positive Linear Operators In Topological Vector Spaces
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Book Synopsis On Sets of Positive Linear Operators in Topological Vector Spaces by : Klaus Ritter
Download or read book On Sets of Positive Linear Operators in Topological Vector Spaces written by Klaus Ritter and published by . This book was released on 1967 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let K sub x and K sub y be convex cones in the topological linear spaces X and Y, respectively. A continuous linear operator A mapping X into Y is called positive if the image of K sub x under A is a subset of K sub y. Properties of the maximal set of positive linear operators are investigated. (Author).
Book Synopsis Ordered Vector Spaces and Linear Operators by : Romulus Cristescu
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:
Book Synopsis Dynamics of Linear Operators by : Frédéric Bayart
Download or read book Dynamics of Linear Operators written by Frédéric Bayart and published by Cambridge University Press. This book was released on 2009-06-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators. Written for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level.
Book Synopsis Linear Topological Spaces by : John L. Kelley
Download or read book Linear Topological Spaces written by John L. Kelley and published by . This book was released on 2013-09 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Additional Contributors Are W. F. Donoghue, Jr., Kenneth R. Lucas. B. J. Pettis, Ebbe Thue Poulsen, G. Baley Price, Wendy Robertson, W. R. Scott, And Kennan T. Smith.
Book Synopsis Extension of Positive Operators and Korovkin Theorems by : K. Donner
Download or read book Extension of Positive Operators and Korovkin Theorems written by K. Donner and published by Springer. This book was released on 2006-11-14 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Operator Theory in Riesz Spaces by : Adriaan C. Zaanen
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 :Charalambos D. Aliprantis Publisher :Springer Science & Business Media ISBN 13 :1402050089 Total Pages :389 pages Book Rating :4.4/5 (2 download)
Book Synopsis Positive Operators by : Charalambos D. Aliprantis
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.
Book Synopsis Topological Vector Spaces by : H.H. Schaefer
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 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. The author has found it unnecessary to rederive these results, since they are equally basic for many other areas of mathematics, and every beginning graduate student is likely to have made their acquaintance. Simi larly, the elementary facts on Hilbert and Banach spaces are widely known and are not discussed in detail in this book, which is mainly addressed to those readers who have attained and wish to get beyond the introductory level. The book has its origin in courses given by the author at Washington State University, the University of Michigan, and the University of Tiibingen in the years 1958-1963. At that time there existed no reasonably complete text on topological vector spaces in English, and there seemed to be a genuine need for a book on this subject. This situation changed in 1963 with the appearance of the book by Kelley, Namioka et al. [1] which, through its many elegant proofs, has had some influence on the final draft of this manuscript. Yet the two books appear to be sufficiently different in spirit and subject matter to justify the publication of this manuscript; in particular, the present book includes a discussion of topological tensor products, nuclear spaces, ordered topological vector spaces, and an appendix on positive operators.
Book Synopsis Additive Subgroups of Topological Vector Spaces by : Wojciech Banaszczyk
Download or read book Additive Subgroups of Topological Vector Spaces written by Wojciech Banaszczyk and published by Springer. This book was released on 2006-11-14 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact. The book sets out to present in a systematic way the existing material. It is based on the original notion of a nuclear group, which includes LCA groups and nuclear locally convex spaces together with their additive subgroups, quotient groups and products. For (metrizable, complete) nuclear groups one obtains analogues of the Pontryagin duality theorem, of the Bochner theorem and of the Lévy-Steinitz theorem on rearrangement of series (an answer to an old question of S. Ulam). The book is written in the language of functional analysis. The methods used are taken mainly from geometry of numbers, geometry of Banach spaces and topological algebra. The reader is expected only to know the basics of functional analysis and abstract harmonic analysis.
Book Synopsis Linear operators. 3. Spectral operators by : Nelson Dunford
Download or read book Linear operators. 3. Spectral operators written by Nelson Dunford and published by Wiley-Interscience. This book was released on 1958 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ordered Topological Vector Spaces by : Anthony L. Peressini
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:
Book Synopsis Topological Vector Spaces, Distributions and Kernels by : François Treves
Download or read book Topological Vector Spaces, Distributions and Kernels written by François Treves and published by Elsevier. This book was released on 2016-06-03 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Vector Spaces, Distributions and Kernels discusses partial differential equations involving spaces of functions and space distributions. The book reviews the definitions of a vector space, of a topological space, and of the completion of a topological vector space. The text gives examples of Frechet spaces, Normable spaces, Banach spaces, or Hilbert spaces. The theory of Hilbert space is similar to finite dimensional Euclidean spaces in which they are complete and carry an inner product that can determine their properties. The text also explains the Hahn-Banach theorem, as well as the applications of the Banach-Steinhaus theorem and the Hilbert spaces. The book discusses topologies compatible with a duality, the theorem of Mackey, and reflexivity. The text describes nuclear spaces, the Kernels theorem and the nuclear operators in Hilbert spaces. Kernels and topological tensor products theory can be applied to linear partial differential equations where kernels, in this connection, as inverses (or as approximations of inverses), of differential operators. The book is suitable for vector mathematicians, for students in advanced mathematics and physics.
Book Synopsis Topological Vector Spaces, Distributions and Kernels by :
Download or read book Topological Vector Spaces, Distributions and Kernels written by and published by Academic Press. This book was released on 1967-01-01 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Vector Spaces, Distributions and Kernels
Book Synopsis Linear Operators, Part 1 by : Nelson Dunford
Download or read book Linear Operators, Part 1 written by Nelson Dunford and published by John Wiley & Sons. This book was released on 1988-02-23 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text, written by two notable mathematicians, constitutes a comprehensive survey of the general theory of linear operations, together with applications to the diverse fields of more classical analysis. Dunford and Schwartz emphasize the significance of the relationships between the abstract theory and its applications. This text has been written for the student as well as for the mathematician—treatment is relatively self-contained. This is a paperback edition of the original work, unabridged, in three volumes.
Book Synopsis Topological Vector Spaces by : Alex P. Robertson
Download or read book Topological Vector Spaces written by Alex P. Robertson and published by CUP Archive. This book was released on 1980 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topological Vector Spaces by : Lawrence Narici
Download or read book Topological Vector Spaces written by Lawrence Narici and published by CRC Press. This book was released on 2010-07-26 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: With many new concrete examples and historical notes, Topological Vector Spaces, Second Edition provides one of the most thorough and up-to-date treatments of the Hahn-Banach theorem. This edition explores the theorem's connection with the axiom of choice, discusses the uniqueness of Hahn-Banach extensions, and includes an entirely new chapter on v
Book Synopsis Invitation to Linear Operators by : Takayuki Furuta
Download or read book Invitation to Linear Operators written by Takayuki Furuta and published by CRC Press. This book was released on 2001-07-26 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books on linear operators are not easy to follow for students and researchers without an extensive background in mathematics. Self-contained and using only matrix theory, Invitation to Linear Operators: From Matricies to Bounded Linear Operators on a Hilbert Space explains in easy-to-follow steps a variety of interesting recent results on linear operators on a Hilbert space. The author first states the important properties of a Hilbert space, then sets out the fundamental properties of bounded linear operators on a Hilbert space. The final section presents some of the more recent developments in bounded linear operators.
