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Author : V. M. Bogdan
Publisher :
ISBN 13 :
Total Pages : 78 pages
Book Rating : 4.F/5 ( download)
Download or read book Topological Rings of Sets and the Theory of Vector Measures written by V. M. Bogdan and published by . This book was released on 1978 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. Pap
Publisher : Elsevier
ISBN 13 : 0080533094
Total Pages : 1633 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Measure Theory written by E. Pap and published by Elsevier. This book was released on 2002-10-31 with total page 1633 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this Handbook isto survey measure theory with its many different branches and itsrelations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications whichsupport the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the variousareas they contain many special topics and challengingproblems valuable for experts and rich sources of inspiration.Mathematicians from other areas as well as physicists, computerscientists, engineers and econometrists will find useful results andpowerful methods for their research. The reader may find in theHandbook many close relations to other mathematical areas: realanalysis, probability theory, statistics, ergodic theory,functional analysis, potential theory, topology, set theory,geometry, differential equations, optimization, variationalanalysis, decision making and others. The Handbook is a richsource of relevant references to articles, books and lecturenotes and it contains for the reader's convenience an extensivesubject and author index.
Author : D. Kölzow
Publisher : Springer
ISBN 13 : 3540390693
Total Pages : 342 pages
Book Rating : 4.5/5 (43 download)
Download or read book Measure Theory Oberwolfach 1983 written by D. Kölzow and published by Springer. This book was released on 2006-11-14 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Antonio Boccuto
Publisher : Bentham Science Publishers
ISBN 13 : 1681080095
Total Pages : 548 pages
Book Rating : 4.6/5 (81 download)
Download or read book Convergence Theorems for Lattice Group-Valued Measures written by Antonio Boccuto and published by Bentham Science Publishers. This book was released on 2015-04-06 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convergence Theorems for Lattice Group-valued Measures explains limit and boundedness theorems for measures taking values in abstract structures. The book begins with a historical survey about these topics since the beginning of the last century, moving on to basic notions and preliminaries on filters/ideals, lattice groups, measures and tools which are featured in the rest of this text. Readers will also find a survey on recent classical results about limit, boundedness and extension theorems for lattice group-valued measures followed by information about recent developments on these kinds of theorems and several results in the setting of filter/ideal convergence. In addition, each chapter has a general description of the topics and an appendix on random variables, concepts and lattices is also provided. Thus readers will benefit from this book through an easy-to-read historical survey about all the problems on convergence and boundedness theorems, and the techniques and tools which are used to prove the main results. The book serves as a primer for undergraduate, postgraduate and Ph. D. students on mathematical lattice and topological groups and filters, and a treatise for expert researchers who aim to extend their knowledge base.
Author : William Howard Graves
Publisher : American Mathematical Soc.
ISBN 13 : 0821821954
Total Pages : 82 pages
Book Rating : 4.8/5 (218 download)
Download or read book On the Theory of Vector Measures written by William Howard Graves and published by American Mathematical Soc.. This book was released on 1977 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a ring of subsets of a non-empty set, there is a universal measure on the ring with values in an associated complete locally convex space which carries, through its typology, much of the combinatorial and measure theoretic structure of the ring. Moreover, vector measures of the ring are in 1-1 correspondence with continuous linear maps on the associated space. Several aspects of the theory of vector measures including decomposition theorems, extension theorems, Bartle-Dunford-Schwartz type theorems on weak compactness, and Pettis and Orlicz-Pettis-type theorems are studied in the unifying context of the universal measure and the associated universal representation theorem. A brief account of a similar theory for measures on abstract Boolean algebras is also given.
Author : Don H. Tucker
Publisher : Academic Press
ISBN 13 : 1483261026
Total Pages : 475 pages
Book Rating : 4.4/5 (832 download)
Download or read book Vector and Operator Valued Measures and Applications written by Don H. Tucker and published by Academic Press. This book was released on 2014-05-10 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector and Operator Valued Measures and Applications is a collection of papers presented at the Symposium on Vector and Operator Valued Measures and Applications held in Alta, Utah, on August 7-12, 1972. The symposium provided a forum for discussing vector and operator valued measures and their applications to various areas such as stochastic integration, electrical engineering, control theory, and scattering theory. Comprised of 37 chapters, this volume begins by presenting two remarks related to the result due to Kolmogorov: the first is a theorem holding for nonnegative definite functions from T X T to C (where T is an arbitrary index set), and the second applies to separable Hausdorff spaces T, continuous nonnegative definite functions ? from T X T to C, and separable Hilbert spaces H. The reader is then introduced to the extremal structure of the range of a controlled vector measure ? with values in a Hausdorff locally convex space X over the field of reals; how the theory of vector measures is connected with the theory of compact and weakly compact mappings on certain function spaces; and Daniell and Daniell-Bochner type integrals. Subsequent chapters focus on the disintegration of measures and lifting; products of spectral measures; and mean convergence of martingales of Pettis integrable functions. This book should be of considerable use to workers in the field of mathematics.
Author : K.P.S. Bhaskara Rao
Publisher : Academic Press
ISBN 13 : 0080874282
Total Pages : 327 pages
Book Rating : 4.0/5 (88 download)
Download or read book Theory of Charges written by K.P.S. Bhaskara Rao and published by Academic Press. This book was released on 1983-05-10 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Charges
Author : Joseph Diestel
Publisher : American Mathematical Soc.
ISBN 13 : 0821815156
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)
Download or read book Vector Measures written by Joseph Diestel and published by American Mathematical Soc.. This book was released on 1977-06-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in Banach spaces is the unifying theme. The first chapter deals with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and its relatives. Chapter II concentrates on measurable vector valued functions and the Bochner integral. Chapter III begins the study of the interplay among the Radon-Nikodym theorem for vector measures, operators on $L_1$ and topological properties of Banach spaces. A variety of applications is given in the next chapter. Chapter V deals with martingales of Bochner integrable functions and their relation to dentable subsets of Banach spaces. Chapter VI is devoted to a measure-theoretic study of weakly compact absolutely summing and nuclear operators on spaces of continuous functions. In Chapter VII a detailed study of the geometry of Banach spaces with the Radon-Nikodym property is given. The next chapter deals with the use of Radon-Nikodym theorems in the study of tensor products of Banach spaces. The last chapter concludes the survey with a discussion of the Liapounoff convexity theorem and other geometric properties of the range of a vector measure. Accompanying each chapter is an extensive survey of the literature and open problems.
Author : Library of Congress
Publisher :
ISBN 13 :
Total Pages : 1712 pages
Book Rating : 4.:/5 (327 download)
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 1991 with total page 1712 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Malempati Madhusudana Rao
Publisher : World Scientific
ISBN 13 : 9814350818
Total Pages : 553 pages
Book Rating : 4.8/5 (143 download)
Download or read book Random and Vector Measures written by Malempati Madhusudana Rao and published by World Scientific. This book was released on 2012 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with the structural analysis of vector and random (or both) valued countably additive measures, and used for integral representations of random fields. This book analyzes several stationary aspects and related processes.
Author :
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.:/5 (318 download)
Download or read book Tokyo Journal of Mathematics written by and published by . This book was released on 1981-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Beloslav Riecan
Publisher : Springer Science & Business Media
ISBN 13 : 9401589194
Total Pages : 389 pages
Book Rating : 4.4/5 (15 download)
Download or read book Integral, Measure, and Ordering written by Beloslav Riecan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is a monograph including some recent results of mea sure and integration theory. It concerns three main ideas. The first idea deals with some ordering structures such as Riesz spaces and lattice or dered groups, and their relation to measure and integration theory. The second is the idea of fuzzy sets, quite new in general, and in measure theory particularly. The third area concerns some models of quantum mechanical systems. We study mainly models based on fuzzy set theory. Some recent results are systematically presented along with our suggestions for further development. The first chapter has an introductory character, where we present basic definitions and notations. Simultaneously, this chapter can be regarded as an elementary introduction to fuzzy set theory. Chapter 2 contains an original approach to the convergence of sequences of measurable functions. While the notion of a null set can be determined uniquely, the notion of a set of "small" measure has a fuzzy character. It is interesting that the notion of fuzzy set and the notion of a set of small measure (described mathematically by so-called small systems) were introduced independently at almost the same time. Although the axiomatic systems in both theories mentioned are quite different, we show that the notion of a small system can be considered from the point of view of fuzzy sets.
Author : Gilles Godefroy
Publisher : American Mathematical Society
ISBN 13 : 1470475707
Total Pages : 358 pages
Book Rating : 4.4/5 (74 download)
Download or read book Geometry of Banach Spaces and Related Fields written by Gilles Godefroy and published by American Mathematical Society. This book was released on 2024-03-27 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of recent approaches to and results about properties of various classes of functional spaces, such as Banach spaces, uniformly convex spaces, function spaces, and Banach algebras. Each of the 12 articles in this book gives a broad overview of current subjects and presents open problems. Each article includes an extensive bibliography. This book is dedicated to Professor Per. H. Enflo, who made significant contributions to functional analysis and operator theory.
Author : Nguyen Van Thu
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.F/5 ( download)
Download or read book Prediction Problems written by Nguyen Van Thu and published by . This book was released on 1980 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander B Kharazishvili
Publisher : World Scientific
ISBN 13 : 9814518220
Total Pages : 270 pages
Book Rating : 4.8/5 (145 download)
Download or read book Transformation Groups And Invariant Measures: Set-theoretical Aspects written by Alexander B Kharazishvili and published by World Scientific. This book was released on 1998-10-05 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to some topics of the general theory of invariant and quasi-invariant measures. Such measures are usually defined on various σ-algebras of subsets of spaces equipped with transformation groups, and there are close relationships between purely algebraic properties of these groups and the corresponding properties of invariant (quasi-invariant) measures. The main goal of the book is to investigate several aspects of those relationships (primarily from the set-theoretical point of view). Also of interest are the properties of some natural classes of sets, important from the viewpoint of the theory of invariant (quasi-invariant) measures.
Author : Library of Congress. Cataloging Policy and Support Office
Publisher :
ISBN 13 :
Total Pages : 1924 pages
Book Rating : 4.3/5 (91 download)
Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2009 with total page 1924 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Library of Congress. Subject Cataloging Division
Publisher :
ISBN 13 :
Total Pages : 1546 pages
Book Rating : 4.3/5 (91 download)
Download or read book Library of Congress Subject Headings: P-Z written by Library of Congress. Subject Cataloging Division and published by . This book was released on 1989 with total page 1546 pages. Available in PDF, EPUB and Kindle. Book excerpt:
