Quasi-continuous Functions on Product Spaces

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Publisher :
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4.:/5 (256 download)

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Book Synopsis Quasi-continuous Functions on Product Spaces by : Nathaniel F. G. Martin

Download or read book Quasi-continuous Functions on Product Spaces written by Nathaniel F. G. Martin and published by . This book was released on 1961 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:

USCO and Quasicontinuous Mappings

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311075018X
Total Pages : 306 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis USCO and Quasicontinuous Mappings by : L’ubica Holá

Download or read book USCO and Quasicontinuous Mappings written by L’ubica Holá and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-10-25 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents two natural generalizations of continuous mappings, namely usco and quasicontinuous mappings. The first class considers set-valued mappings, the second class relaxes the definition of continuity. Both these topological concepts stem naturally from basic mathematical considerations and have numerous applications that are covered in detail.

Separate and Joint Continuity

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Publisher : CRC Press
ISBN 13 : 1040043178
Total Pages : 224 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Separate and Joint Continuity by : Jiling Cao

Download or read book Separate and Joint Continuity written by Jiling Cao and published by CRC Press. This book was released on 2024-07-09 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Separate and Joint Continuity presents and summarises the main ideas and theorems that have been developed on this topic, which lies at the interface between General Topology and Functional Analysis (and the geometry of Banach spaces in particular). The book offers detailed, self-contained proofs of many of the key results. Although the development of this area has now slowed to a point where an authoritative book can be written, many important and significant problems remain open, and it is hoped that this book may serve as a springboard for future and emerging researchers into this area. Furthermore, it is the strong belief of the authors that this area of research is ripe for exploitation. That is to say, it is their belief that many of the results contained in this monograph can, and should be, applied to other areas of mathematics. It is hoped that this monograph may provide an easily accessible entry point to the main results on separate and joint continuity for mathematicians who are not directly working in this field, but who may be able to exploit some of the deep results that have been developed over the past 125 years. Features Provides detailed, self-contained proofs of many of the key results in the area Suitable for researchers and postgraduates in topology and functional analysis Is the first book to offer a detailed and up-to-date summary of the main ideas and theorems on this topic

Fixed Point Theory and Applications

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Publisher : Nova Publishers
ISBN 13 : 9781590338902
Total Pages : 240 pages
Book Rating : 4.3/5 (389 download)

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Book Synopsis Fixed Point Theory and Applications by : Yeol Je Cho

Download or read book Fixed Point Theory and Applications written by Yeol Je Cho and published by Nova Publishers. This book was released on 2004 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Point Theory & Applications, Volume 5

Measure and Integration Theory on Infinite-Dimensional Spaces

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Publisher : Academic Press
ISBN 13 : 0080873634
Total Pages : 439 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Measure and Integration Theory on Infinite-Dimensional Spaces by :

Download or read book Measure and Integration Theory on Infinite-Dimensional Spaces written by and published by Academic Press. This book was released on 1972-10-16 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measure and Integration Theory on Infinite-Dimensional Spaces

Duke Mathematical Journal

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Publisher :
ISBN 13 :
Total Pages : 878 pages
Book Rating : 4.:/5 (36 download)

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Book Synopsis Duke Mathematical Journal by :

Download or read book Duke Mathematical Journal written by and published by . This book was released on 1969 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: Without specializing in a small number of subject areas, this journal emphasizes the most active and influential areas of current mathematics.

Topological Properties of Spaces of Continuous Functions

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Publisher : Springer
ISBN 13 : 3540391819
Total Pages : 128 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Topological Properties of Spaces of Continuous Functions by : Robert A. McCoy

Download or read book Topological Properties of Spaces of Continuous Functions written by Robert A. McCoy and published by Springer. This book was released on 2006-12-08 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions. The two major classes of function space topologies studied are the set-open topologies and the uniform topologies. Where appropriate, the analogous theorems for the two major classes of topologies are studied together, so that a comparison can be made. A chapter on cardinal functions puts characterizations of a number of topological properties of function spaces into a more general setting: some of these results are new, others are generalizations of known theorems. Excercises are included at the end of each chapter, covering other kinds of function space topologies. Thus the book should be appropriate for use in a classroom setting as well as for functional analysis and general topology. The only background needed is some basic knowledge of general topology.

New Integrals

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Publisher : Springer
ISBN 13 : 3540469559
Total Pages : 211 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis New Integrals by : Peter S. Bullen

Download or read book New Integrals written by Peter S. Bullen and published by Springer. This book was released on 2006-11-14 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Real Functions

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Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Real Functions by :

Download or read book Real Functions written by and published by . This book was released on 1998 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Glasnik Matematicki

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Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4./5 ( download)

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Book Synopsis Glasnik Matematicki by :

Download or read book Glasnik Matematicki written by and published by . This book was released on 1989 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Noncommutative Dynamics and E-Semigroups

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Publisher : Springer Science & Business Media
ISBN 13 : 0387215247
Total Pages : 442 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Noncommutative Dynamics and E-Semigroups by : William Arveson

Download or read book Noncommutative Dynamics and E-Semigroups written by William Arveson and published by Springer Science & Business Media. This book was released on 2012-11-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the notion of an E-semigroup, a generalization of the known concept of E_O-semigroup. These objects are families of endomorphisms of a von Neumann algebra satisfying certain natural algebraic and continuity conditions. Its thorough approach is ideal for graduate students and research mathematicians.

Operator Theory in Function Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821839659
Total Pages : 368 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operator Theory in Function Spaces by : Kehe Zhu

Download or read book Operator Theory in Function Spaces written by Kehe Zhu and published by American Mathematical Soc.. This book was released on 2007 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis is on size estimates of these operators: boundedness, compactness, and membership in the Schatten classes. Most results concern the relationship between operator-theoretic properties of these operators and function-theoretic properties of the inducing symbols. Thus a good portion of the book is devoted to the study of analytic function spaces such as the Bloch space, Besov spaces, and BMOA, whose elements are to be used as symbols to induce the operators we study. The book is intended for both research mathematicians and graduate students in complex analysis and operator theory. The prerequisites are minimal; a graduate course in each of real analysis, complex analysis, and functional analysis should sufficiently prepare the reader for the book. Exercises and bibliographical notes are provided at the end of each chapter. These notes will point the reader to additional results and problems. Kehe Zhu is a professor of mathematics at the State University of New York at Albany. His previous books include Theory of Bergman Spaces (Springer, 2000, with H. Hedenmalm and B. Korenblum) and Spaces of Holomorphic Functions in the Unit Ball (Springer, 2005). His current research interests are holomorphic function spaces and operators acting on them.

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401512884
Total Pages : 595 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.

Linear Operators, Part 1

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Publisher : John Wiley & Sons
ISBN 13 : 0471608483
Total Pages : 870 pages
Book Rating : 4.4/5 (716 download)

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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.

Continuous Selections of Multivalued Mappings

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Publisher : Springer Science & Business Media
ISBN 13 : 9401711623
Total Pages : 366 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Continuous Selections of Multivalued Mappings by : D. Repovs

Download or read book Continuous Selections of Multivalued Mappings written by D. Repovs and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the theory of continuous selections of multi valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as well as !'J-n area which has been intensively developing in recent decades and has found various applications in general topology, theory of absolute retracts and infinite-dimensional manifolds, geometric topology, fixed-point theory, functional and convex analysis, game theory, mathematical economics, and other branches of modern mathematics. The fundamental results in this the ory were laid down in the mid 1950's by E. Michael. The book consists of (relatively independent) three parts - Part A: Theory, Part B: Results, and Part C: Applications. (We shall refer to these parts simply by their names). The target audience for the first part are students of mathematics (in their senior year or in their first year of graduate school) who wish to get familiar with the foundations of this theory. The goal of the second part is to give a comprehensive survey of the existing results on continuous selections of multivalued mappings. It is intended for specialists in this area as well as for those who have mastered the material of the first part of the book. In the third part we present important examples of applications of continuous selections. We have chosen examples which are sufficiently interesting and have played in some sense key role in the corresponding areas of mathematics.

Function Spaces

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Publisher : CRC Press
ISBN 13 : 9780824796655
Total Pages : 412 pages
Book Rating : 4.7/5 (966 download)

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Book Synopsis Function Spaces by : K. Jarosz

Download or read book Function Spaces written by K. Jarosz and published by CRC Press. This book was released on 1995-07-19 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the proceedings from the Second Conference on Function Spaces, this work details known results and fresh discoveries on a wide range of topics concerning function spaces. It covers advances in areas such as spaces and algebras of analytic functions, Lp-spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.

Handbook of the History of General Topology

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792344797
Total Pages : 416 pages
Book Rating : 4.3/5 (447 download)

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Book Synopsis Handbook of the History of General Topology by : C.E. Aull

Download or read book Handbook of the History of General Topology written by C.E. Aull and published by Springer Science & Business Media. This book was released on 1997-03-31 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.