The Topology of Uniform Convergence on Order-Bounded Sets

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Publisher : Springer
ISBN 13 : 3540382682
Total Pages : 169 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis The Topology of Uniform Convergence on Order-Bounded Sets by : Y.-C. Wong

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:

The Topology of Uniform Convergence on Order-bounded Sets

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Publisher : Springer
ISBN 13 : 9780387078007
Total Pages : 163 pages
Book Rating : 4.0/5 (78 download)

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Book Synopsis The Topology of Uniform Convergence on Order-bounded Sets by : Yau-Chuen Wong

Download or read book The Topology of Uniform Convergence on Order-bounded Sets written by Yau-Chuen Wong and published by Springer. This book was released on 1976 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Duality in Measure Theory

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Publisher : Springer
ISBN 13 : 3540392750
Total Pages : 202 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Duality in Measure Theory by : C. Constantinescu

Download or read book Duality in Measure Theory written by C. Constantinescu and published by Springer. This book was released on 2006-11-15 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Real Analysis Methods for Markov Processes

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Publisher : Springer Nature
ISBN 13 : 9819736595
Total Pages : 749 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis Real Analysis Methods for Markov Processes by : Kazuaki Taira

Download or read book Real Analysis Methods for Markov Processes written by Kazuaki Taira and published by Springer Nature. This book was released on with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Vector Spaces I

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Author :
Publisher : CUP Archive
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4./5 ( download)

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Book Synopsis Topological Vector Spaces I by : Gottfried Köthe

Download or read book Topological Vector Spaces I written by Gottfried Köthe and published by CUP Archive. This book was released on 1983 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is the author's aim to give a systematic account of the most im portant ideas, methods and results of the theory of topological vector spaces. After a rapid development during the last 15 years, this theory has now achieved a form which makes such an account seem both possible and desirable. This present first volume begins with the fundamental ideas of general topology. These are of crucial importance for the theory that follows, and so it seems necessary to give a concise account, giving complete proofs. This also has the advantage that the only preliminary knowledge required for reading this book is of classical analysis and set theory. In the second chapter, infinite dimensional linear algebra is considered in comparative detail. As a result, the concept of dual pair and linear topologies on vector spaces over arbitrary fields are intro duced in a natural way. It appears to the author to be of interest to follow the theory of these linearly topologised spaces quite far, since this theory can be developed in a way which closely resembles the theory of locally convex spaces. It should however be stressed that this part of chapter two is not needed for the comprehension of the later chapters. Chapter three is concerned with real and complex topological vector spaces. The classical results of Banach's theory are given here, as are fundamental results about convex sets in infinite dimensional spaces.

Functional Analysis and Continuous Optimization

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Publisher : Springer Nature
ISBN 13 : 3031300149
Total Pages : 273 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Functional Analysis and Continuous Optimization by : José M. Amigó

Download or read book Functional Analysis and Continuous Optimization written by José M. Amigó and published by Springer Nature. This book was released on 2023-07-01 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Positive Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 1402050089
Total Pages : 389 pages
Book Rating : 4.4/5 (2 download)

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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.

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.

Introductory Theory of Topological Vector SPates

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Publisher : CRC Press
ISBN 13 : 9780824787790
Total Pages : 442 pages
Book Rating : 4.7/5 (877 download)

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Book Synopsis Introductory Theory of Topological Vector SPates by : Yau-Chuen Wong

Download or read book Introductory Theory of Topological Vector SPates written by Yau-Chuen Wong and published by CRC Press. This book was released on 1992-08-25 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.

Stochastic Integration with Jumps

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Publisher : Cambridge University Press
ISBN 13 : 0521811295
Total Pages : 517 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Stochastic Integration with Jumps by : Klaus Bichteler

Download or read book Stochastic Integration with Jumps written by Klaus Bichteler and published by Cambridge University Press. This book was released on 2002-05-13 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: The complete theory of stochastic differential equations driven by jumps, their stability, and numerical approximation theories.

Introduction to Operator Theory I

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Publisher : Springer Science & Business Media
ISBN 13 : 1461299268
Total Pages : 483 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introduction to Operator Theory I by : A. Brown

Download or read book Introduction to Operator Theory I written by A. Brown and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis. Its (soon to be published) companion volume, Operators on Hilbert Space, is in tended to be used as a textbook for a subsequent course in operator theory. In writing these books we have naturally been concerned with the level of preparation of the potential reader, and, roughly speaking, we suppose him to be familiar with the approximate equivalent of a one-semester course in each of the following areas: linear algebra, general topology, complex analysis, and measure theory. Experience has taught us, however, that such a sequence of courses inevitably fails to treat certain topics that are important in the study of functional analysis and operator theory. For example, tensor products are frequently not discussed in a first course in linear algebra. Likewise for the topics of convergence of nets and the Baire category theorem in a course in topology, and the connections between measure and topology in a course in measure theory. For this reason we have chosen to devote the first ten chapters of this volume (entitled Part I) to topics of a preliminary nature. In other words, Part I summarizes in considerable detail what a student should (and eventually must) know in order to study functional analysis and operator theory successfully.

Proceedings of the Cambridge Philosophical Society

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Publisher :
ISBN 13 :
Total Pages : 594 pages
Book Rating : 4.:/5 (36 download)

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Book Synopsis Proceedings of the Cambridge Philosophical Society by : Cambridge Philosophical Society

Download or read book Proceedings of the Cambridge Philosophical Society written by Cambridge Philosophical Society and published by . This book was released on 1973 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Functional Analysis

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Publisher : CRC Press
ISBN 13 : 9780677015002
Total Pages : 248 pages
Book Rating : 4.0/5 (15 download)

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Book Synopsis Nonlinear Functional Analysis by : Jacob T. Schwartz

Download or read book Nonlinear Functional Analysis written by Jacob T. Schwartz and published by CRC Press. This book was released on 1969 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bornologies and Lipschitz Analysis

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Publisher : CRC Press
ISBN 13 : 1000884309
Total Pages : 243 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Bornologies and Lipschitz Analysis by : Gerald Beer

Download or read book Bornologies and Lipschitz Analysis written by Gerald Beer and published by CRC Press. This book was released on 2023-05-15 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topological Vector Spaces and Their Applications

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Publisher : Springer
ISBN 13 : 3319571176
Total Pages : 466 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Topological Vector Spaces and Their Applications by : V.I. Bogachev

Download or read book Topological Vector Spaces and Their Applications written by V.I. Bogachev and published by Springer. This book was released on 2017-05-16 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. Finally, the book explores some of such applications connected with differential calculus and measure theory in infinite-dimensional spaces. These applications are a central aspect of the book, which is why it is different from the wide range of existing texts on topological vector spaces. Overall, this book develops differential and integral calculus on infinite-dimensional locally convex spaces by using methods and techniques of the theory of locally convex spaces. The target readership includes mathematicians and physicists whose research is related to infinite-dimensional analysis.

Introduction to Infinite Dimensional Stochastic Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 9401141088
Total Pages : 308 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Introduction to Infinite Dimensional Stochastic Analysis by : Zhi-yuan Huang

Download or read book Introduction to Infinite Dimensional Stochastic Analysis written by Zhi-yuan Huang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: The infinite dimensional analysis as a branch of mathematical sciences was formed in the late 19th and early 20th centuries. Motivated by problems in mathematical physics, the first steps in this field were taken by V. Volterra, R. GateallX, P. Levy and M. Frechet, among others (see the preface to Levy[2]). Nevertheless, the most fruitful direction in this field is the infinite dimensional integration theory initiated by N. Wiener and A. N. Kolmogorov which is closely related to the developments of the theory of stochastic processes. It was Wiener who constructed for the first time in 1923 a probability measure on the space of all continuous functions (i. e. the Wiener measure) which provided an ideal math ematical model for Brownian motion. Then some important properties of Wiener integrals, especially the quasi-invariance of Gaussian measures, were discovered by R. Cameron and W. Martin[l, 2, 3]. In 1931, Kolmogorov[l] deduced a second partial differential equation for transition probabilities of Markov processes order with continuous trajectories (i. e. diffusion processes) and thus revealed the deep connection between theories of differential equations and stochastic processes. The stochastic analysis created by K. Ito (also independently by Gihman [1]) in the forties is essentially an infinitesimal analysis for trajectories of stochastic processes. By virtue of Ito's stochastic differential equations one can construct diffusion processes via direct probabilistic methods and treat them as function als of Brownian paths (i. e. the Wiener functionals).

Mathematical Theory of Statistics

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Publisher : Walter de Gruyter
ISBN 13 : 9783110102581
Total Pages : 512 pages
Book Rating : 4.1/5 (25 download)

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Book Synopsis Mathematical Theory of Statistics by : Helmut Strasser

Download or read book Mathematical Theory of Statistics written by Helmut Strasser and published by Walter de Gruyter. This book was released on 1985 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)