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Author : R.M. Aron
Publisher : Springer
ISBN 13 : 3540359060
Total Pages : 463 pages
Book Rating : 4.5/5 (43 download)
Download or read book Vector Space Measures and Applications I written by R.M. Aron and published by Springer. This book was released on 2006-11-15 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. M. Aron
Publisher :
ISBN 13 : 9783662207642
Total Pages : 232 pages
Book Rating : 4.2/5 (76 download)
Download or read book Vector Space Measures and Applications II written by R. M. Aron and published by . This book was released on 2014-01-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.I. Bogachev
Publisher : Springer
ISBN 13 : 3319571176
Total Pages : 466 pages
Book Rating : 4.3/5 (195 download)
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.
Author : R. M. Aron
Publisher :
ISBN 13 : 9783662213674
Total Pages : 464 pages
Book Rating : 4.2/5 (136 download)
Download or read book Vector Space Measures and Applications I written by R. M. Aron and published by . This book was released on 2014-01-15 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R.M. Aron
Publisher : Springer
ISBN 13 : 3540359036
Total Pages : 230 pages
Book Rating : 4.5/5 (43 download)
Download or read book Vector Space Measures and Applications II written by R.M. Aron and published by Springer. This book was released on 2006-11-15 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard M. Aron
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (142 download)
Download or read book Vector Space Measures and Applications : Proceedings written by Richard M. Aron and published by . This book was released on 1978 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Albert Wilansky
Publisher : Courier Corporation
ISBN 13 : 0486493539
Total Pages : 324 pages
Book Rating : 4.4/5 (864 download)
Download or read book Modern Methods in Topological Vector Spaces written by Albert Wilansky and published by Courier Corporation. This book was released on 2013-01-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Designed for a one-year course in topological vector spaces, this text is geared toward beginning graduate students of mathematics. Topics include Banach space, open mapping and closed graph theorems, local convexity, duality, equicontinuity, operators,inductive limits, and compactness and barrelled spaces. Extensive tables cover theorems and counterexamples. Rich problem sections throughout the book. 1978 edition"--
Author : Conference on Vector Space Measures and Applications (1977 : Dublin)
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (862 download)
Download or read book Vector Space Measures and Applications written by Conference on Vector Space Measures and Applications (1977 : Dublin) and published by . This book was released on 1978 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. M. Aron
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (112 download)
Download or read book Vector Space Measures and Applications written by R. M. Aron and published by . This book was released on 1978 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Richard M. Aron
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.F/5 ( download)
Download or read book Vector Space Measures and Applications written by Richard M. Aron and published by . This book was released on 1978 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. M. Aron
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (859 download)
Download or read book Vector Space Measures and Application written by R. M. Aron and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard M. Aron
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (218 download)
Download or read book Vector Space Measures and Applications written by Richard M. Aron and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard M. Aron
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (488 download)
Download or read book Vector Space Measures and Applications, 1-2 written by Richard M. Aron and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jürgen Voigt
Publisher : Springer Nature
ISBN 13 : 3030329453
Total Pages : 152 pages
Book Rating : 4.0/5 (33 download)
Download or read book A Course on Topological Vector Spaces written by Jürgen Voigt and published by Springer Nature. This book was released on 2020-03-06 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein’s theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(Ω) and the space of distributions, and the Krein-Milman theorem. The book adopts an “economic” approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
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.
Download or read book Vector Space Measures and Applications written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
