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# π Vector measures by J. J. Uhl β free download

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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

## About book:

## About file:

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- Series:
**Mathematical Surveys and Monographs 015** - Author:
**J. J. Uhl** - Year:
**1977** - Publisher:
**Amer Mathematical Society** - Language:
**English** - ISBN:
**0-8218-1515-6,9780821815151**

- DPI:
**600** - File size:
**5 161 902** - Format:
**djvu**

Security code:

Since 1968 the Elementary and Secondary School Civil Rights Compliance Report (known as the E&S survey) has been used to gather information about possible disparities in access to learning opportunities and violations of students' civil rights. Thirty-fiv...

The first five years of operation of the two multi-purpose experiments ZEUS and H1 at the HERA electron--proton storage ring facility in Hamburg, Germany have opened a new era in the study of diffractive vector-meson production in high-energy photon--prot...

A breakthrough approach to the theory and applications of stochastic integration The theory of stochastic integration has become an intensely studied topic in recent years, owing to its extraordinarily successful application to financial mathematics, stoc...

Covering the theory and practice of non-insecticidal control of insect vectors of human disease, this book provides an overview of methods including the use of botanical biocides and insect-derived semiochemicals, with an overall focus on integrated vecto...

Scientists with little or no background in security and security professionals with little or no background in science and technology often have difficulty communicating in order to implement the best counterterrorism strategies. The Science and Technolog...

Complexity is a puzzling and important concept in contemporary research in many disciplines. This book addresses the problem of defining complexity by carefully analysing in what sense complexity means measure in such areas as the theory of dynamical syst...

A text that offers advanced students, scientists, and engineers an integrated introduction to measure theory and probability. The coverage extends to probability, measure, integration, random variables and expected values, convergence of distributions, de...

An effective, quantitative approach for estimating and managing software projectsHow many people do I need? When will the quality be good enough for commercial sale? Can this really be done in two weeks? Rather than relying on instinct, the authors of Sof...