Download or read book The Topology of Almost Uniform Convergence written by John W. Brace and published by . This book was released on 1956 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Almost Uniform Convergence Versus Pointwise Convergence written by John W. Brace and published by . This book was released on 1958 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Topology of Almost Uniform Convergence written by John W. Brace and published by . This book was released on 1956 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Topology of Uniform Convergence on Order Bounded Sets written by Y.-C. Wong and published by Lecture Notes in Mathematics. This book was released on 1976-08 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Almost Uniform Convergence Versus Pointwise Convergence written by John W. Brace and published by . This book was released on 1958 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topology of Uniform Convergence on Orderbounded Sets written by Yau-Chuen Wong and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Uniform Convergence on Classes of Subsets written by Ray Calvin Shiflett and published by . This book was released on 1966 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the study of uniform convergence, one is led naturally to the question of how uniform convergence on subsets relates to uniform convergence on the whole space. This paper develops theorems on how pointwise convergence relates to uniform convergence on finite sets, how uniform convergence on finite subsets relates to uniform convergence on countable sets, and how uniform convergence on countable subsets relates to uniform convergence on uncountable sets. Questions involving uniform convergence on Cauchy sequences are also investigated. These lead to theorems concerning the continuity of limit functions of sequences of continuous functions which converge uniformly on Cauchy sequences. Many of the theorems are generalized ultimately to uniform space. In Chapter III, a topology equivalent to the topology of uniform convergence on compacta on the space of all functions mapping a complete space X to a space Y is introduced. Finally, nets of functions replace sequences of functions, and the possibility of generalizing the previously developed theorems is explored.
Download or read book The topology of uniform convergence on order bounded sets written by Yau-chuen Wong and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topologies of uniform convergence written by Herbert Oscar Muecke and published by . This book was released on 1964 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Royal Road To Topology A Convergence Of Filters written by Szymon Dolecki and published by World Scientific. This book was released on 2024-01-03 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological spaces are a special case of convergence spaces. This textbook introduces topology within a broader context of convergence theory. The title alludes to advantages of the present approach, which is more gratifying than many traditional ones: you travel more comfortably through mathematical landscapes and you see more.The book is addressed both to those who wish to learn topology and to those who, being already knowledgeable about topology, are curious to review it from a different perspective, which goes well beyond the traditional knowledge.Usual topics of classic courses of set-theoretic topology are treated at an early stage of the book — from a viewpoint of convergence of filters, but in a rather elementary way. Later on, most of these facts reappear as simple consequences of more advanced aspects of convergence theory.The mentioned virtues of the approach stem from the fact that the class of convergences is closed under several natural, essential operations, under which the class of topologies is not! Accordingly, convergence theory complements topology like the field of complex numbers algebraically completes the field of real numbers.Convergence theory is intuitive and operational because of appropriate level of its abstraction, general enough to grasp the underlying laws, but not too much in order not to lose intuitive appeal.
Download or read book Topological Vector Spaces written by H.H. Schaefer and published by Springer Science & Business Media. This book was released on 1999-06-24 with total page 376 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.
Download or read book Proceedings of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1975 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the material formerly published in even-numbered issues of the Bulletin of the American Mathematical Society.
Download or read book Foundations of Topology written by Gerhard Preuß and published by Springer. This book was released on 2012-11-02 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform spaces are remedied. This does not mean that these spaces are superfluous. It means exactly that a better framework for handling problems of a topological nature is used. In this setting semiuniform convergence spaces play an essential role. They include not only convergence structures such as topological structures and limit space structures, but also uniform convergence structures such as uniform structures and uniform limit space structures, and they are suitable for studying continuity, Cauchy continuity and uniform continuity as well as convergence structures in function spaces, e.g. simple convergence, continuous convergence and uniform convergence. Various interesting results are presented which cannot be obtained by using topological or uniform spaces in the usual context. The text is self-contained with the exception of the last chapter, where the intuitive concept of nearness is incorporated in Convenient Topology (there exist already excellent expositions on nearness spaces).
Download or read book Quantum Probability and Applications to the Quantum Theory of Irreversible Processes written by L. Accardi and published by Springer. This book was released on 2006-11-14 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ten Lectures on Operator Algebras written by William Arveson and published by American Mathematical Soc.. This book was released on 1984 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains expanded versions of ten lectures delivered at Texas Tech University in the summer of 1983. The operator algebras of the title are nonselfadjoint algebras of operators on Hilbert space.
Download or read book Linear Topological Spaces written by John Leroy Kelley and published by Springer. This book was released on 2013-12-17 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1957 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:
