Simply look for the Free Shipping truck next to
an item. The truck indicates an item is in the
Alibris warehouse and ready to ship. Select at
least $49 worth of items displaying a truck and
get free shipping to any US address.
Description:New. Brand new. We distribute directly for the publisher. In...New. Brand new. We distribute directly for the publisher. 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 Bôchner integral. Chapter III begins the study of the interplay among the Radon-Nikodım 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 Bôchner 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-Nikodım property is given. The next chapter deals with the use of Radon-Nikodım 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.
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited, Baker & Taylor, Inc., or by their respective licensors, or by the publishers, or by their respective licensors. For personal use only. All rights reserved. All rights in images of books or other publications are reserved by the original copyright holders.
You're signed up (and we ♥ you). Watch for our Welcome e-mail and your first coupon. Thanks!