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Author : T. V. Panchapagesan
Release : 2000
Genre : Integrals
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Bartle-Dunford-Schwartz Integral I.Basic Properties of the Integral by : T. V. Panchapagesan
Download or read book The Bartle-Dunford-Schwartz Integral I.Basic Properties of the Integral written by T. V. Panchapagesan. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:
Author : T. V. Panchapagesan
Release : 2000
Genre : Integrals
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis The Bartle-Dunford-Schwartz Integral I. Basic Properties of the Integral by : T. V. Panchapagesan
Download or read book The Bartle-Dunford-Schwartz Integral I. Basic Properties of the Integral written by T. V. Panchapagesan. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thiruvaiyaru V. Panchapagesan
Release : 2002
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Basic Properties of the Integral by : Thiruvaiyaru V. Panchapagesan
Download or read book Basic Properties of the Integral written by Thiruvaiyaru V. Panchapagesan. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thiruvaiyaru V. Panchapagesan
Release : 2008-08-17
Genre : Mathematics
Kind : eBook
Book Rating : 029/5 ( reviews)
Book Synopsis The Bartle-Dunford-Schwartz Integral by : Thiruvaiyaru V. Panchapagesan
Download or read book The Bartle-Dunford-Schwartz Integral written by Thiruvaiyaru V. Panchapagesan. This book was released on 2008-08-17. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a thorough and comprehensive treatise on vector measures, treating the vectorial Radon integration in detail. It explores an interplay between, on the one side, linear operators, transferring real (complex) functions onto elements of locally convex Hausdorff spaces, and vector-valued measures, on the other. The book contains not only a large amount of new material but also corrects various errors in well-known results available in the literature.
Author : Joseph Diestel
Release : 1977-06-01
Genre : Mathematics
Kind : eBook
Book Rating : 156/5 ( reviews)
Book Synopsis Vector Measures by : Joseph Diestel
Download or read book Vector Measures written by Joseph Diestel. This book was released on 1977-06-01. 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.
