The Topology of Uniform Convergence on Order-Bounded Sets

The Topology of Uniform Convergence on Order-Bounded Sets PDF Author: Y.-C. Wong
Publisher: Springer
ISBN: 3540382682
Category : Mathematics
Languages : en
Pages : 169

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The Topology of Uniform Convergence on Order-Bounded Sets

The Topology of Uniform Convergence on Order-Bounded Sets PDF Author: Y.-C. Wong
Publisher: Springer
ISBN: 3540382682
Category : Mathematics
Languages : en
Pages : 169

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Book Description


The Topology of Uniform Convergence on Order-bounded Sets

The Topology of Uniform Convergence on Order-bounded Sets PDF Author: Yau-Chuen Wong
Publisher: Springer
ISBN: 9780387078007
Category : Convergence
Languages : en
Pages : 163

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Topology of Uniform Convergence on Order- Bounded Sets

Topology of Uniform Convergence on Order- Bounded Sets PDF Author: Yale University
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Proximity Approach to Problems in Topology and Analysis

Proximity Approach to Problems in Topology and Analysis PDF Author: Somashekhar Naimpally
Publisher: Walter de Gruyter
ISBN: 3486598600
Category : Mathematics
Languages : en
Pages : 220

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Book Description
Dieses Buch konzentriert das aktuelle Gesamtwissen zum Proximity-Konzept und stellt es dem Leser in gut strukturierter Form dar. Hauptaugenmerk liegt auf den vielfältigen Möglichkeiten, die sich aus dem Proximity-Konzept der räumlichen Nähe und seiner Verallgemeinerung im Nearness-Konzept ergeben.

Duality in Measure Theory

Duality in Measure Theory PDF Author: C. Constantinescu
Publisher: Springer
ISBN: 3540392750
Category : Mathematics
Languages : en
Pages : 202

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Positive Operators

Positive Operators PDF Author: Charalambos D. Aliprantis
Publisher: Springer Science & Business Media
ISBN: 1402050089
Category : Computers
Languages : en
Pages : 389

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Book Description
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.

Functional Analysis and Continuous Optimization

Functional Analysis and Continuous Optimization PDF Author: José M. Amigó
Publisher: Springer Nature
ISBN: 3031300149
Category : Mathematics
Languages : en
Pages : 273

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Book Description
The book includes selected contributions presented at the "International Meeting on Functional Analysis and Continuous Optimization" held in Elche (Spain) on June 16–17, 2022. Its contents cover very recent results in functional analysis, continuous optimization and the interplay between these disciplines. Therefore, this book showcases current research on functional analysis and optimization with individual contributions, as well as new developments in both areas. As a result, the reader will find useful information and stimulating ideas.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9401512884
Category : Mathematics
Languages : en
Pages : 595

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Book Description
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.

Mathematical Theory of Statistics

Mathematical Theory of Statistics PDF Author: Helmut Strasser
Publisher: Walter de Gruyter
ISBN: 9783110102581
Category : Business & Economics
Languages : en
Pages : 512

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Book Description
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob. Titles in planning include Flavia Smarazzo and Alberto Tesei, Measure Theory: Radon Measures, Young Measures, and Applications to Parabolic Problems (2019) Elena Cordero and Luigi Rodino, Time-Frequency Analysis of Operators (2019) Mark M. Meerschaert, Alla Sikorskii, and Mohsen Zayernouri, Stochastic and Computational Models for Fractional Calculus, second edition (2020) Mariusz Lemańczyk, Ergodic Theory: Spectral Theory, Joinings, and Their Applications (2020) Marco Abate, Holomorphic Dynamics on Hyperbolic Complex Manifolds (2021) Miroslava Antić, Joeri Van der Veken, and Luc Vrancken, Differential Geometry of Submanifolds: Submanifolds of Almost Complex Spaces and Almost Product Spaces (2021) Kai Liu, Ilpo Laine, and Lianzhong Yang, Complex Differential-Difference Equations (2021) Rajendra Vasant Gurjar, Kayo Masuda, and Masayoshi Miyanishi, Affine Space Fibrations (2022)

Bornologies and Lipschitz Analysis

Bornologies and Lipschitz Analysis PDF Author: Gerald Beer
Publisher: CRC Press
ISBN: 1000884309
Category : Mathematics
Languages : en
Pages : 243

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Book Description
This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subsets of its members. The largest bornology is the power set of the space and the smallest is the bornology of its finite subsets. Between these lie (among others) the metrically bounded subsets, the relatively compact subsets, the totally bounded subsets, and the Bourbaki bounded subsets. Classes of functions are intimately connected to various bornologies; e.g., (1) a function is locally Lipschitz if and only if its restriction to each relatively compact subset is Lipschitz; (2) a subset is Bourbaki bounded if and only if each uniformly continuous function on the space is bounded when restricted to the subset. A great deal of attention is given to the variational notions of strong uniform continuity and strong uniform convergence with respect to the members of a bornology, leading to the bornology of UC-subsets and UC-spaces. Spaces on which its uniformly continuous real-valued functions are stable under pointwise product are characterized in terms of the coincidence of the Bourbaki bounded subsets with a usually larger bornology. Special attention is given to Lipschitz and locally Lipschitz functions. For example, uniformly dense subclasses of locally Lipschitz functions within the real-valued continuous functions, Cauchy continuous functions, and uniformly continuous functions are presented. It is shown very generally that a function between metric spaces has a particular metric property if and only if whenever it is followed in a composition by a real-valued Lipschitz function, the composition has the property. Bornological convergence of nets of closed subsets, having Attouch-Wets convergence as a prototype, is considered in detail. Topologies of uniform convergence for continuous linear operators between normed spaces is explained in terms of the bornological convergence of their graphs. Finally, the idea of a bornological extension of a topological space is presented, and all regular extensions can be so realized.