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Paperback Vector Measures, Integration and Integral Representation Theory Book

ISBN: 6202349549

ISBN13: 9786202349543

Vector Measures, Integration and Integral Representation Theory

The aim of this work is intended to present a unified, mostly self-contained, survey of the theory of integral representation of bounded operators in topological spaces. It is written for the graduate students who are familiar with abstract measure and integration, and also with the main topics of Banach spaces and topological vector spaces. A lot of work has been done on various extensions of this theorem and it is still the object of many investigations. The objective of this work is a presentation of some prominent generalizations of Riesz Theorem, frequently used in the literature. Each representation theorem considered here has its own integration process which goes through duality of function spaces. We will essentially be concerned by the following settings: In the first part, we consider Banach spaces X, Y, and form the Banach space C(S, X) of all continuous functions from the compact space S into X, equipped with the uniform norm. In the second part, the objective is to go beyond the Banach space setting, to X a topological vector space context.

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Format: Hardcover

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Related Subjects

Math Mathematics Science & Math

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Rated 5 stars
great comprehensive and rigorous treatment of biostatistics

This is the second edition of a highly acclaimed text. Like the first edition this book gives an excellent overview of statistical problems in the medical field and provides illustrations of a variety of parametric and nonparametric statistical techniques for solving these problems. It is aimed at the intermediate level rather than as an introductory course. So medical professionals, with a first course in biostatistics under...

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Rated 4 stars
nice reference for biostatisticians & medical professionals

This is the second edition of a highly acclaimed text. Like the first edition this book gives an excellent overview of statistical problems in the medical field and provides illustrations of a variety of parametric and nonparametric statistical techniques for solving these problems. It is aimed at the intermediate level rather than as an introductory course. So medical professionals, with a first course in biostatistics...

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