Topics In Banach Space Integration

By: Guoju Ye, Stefan Schwabik

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Hardcover | 17 August 2005

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312 Pages

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The relatively new concepts of the Henstock-Kurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions. This timely book presents an overview of the concepts developed and results achieved during the past 15 years. The Henstock-Kurzweil and McShane integrals play the central role in the book. Various forms of the integration are introduced and compared from the viewpoint of their generality. Functional analysis is the main tool for presenting the theory of summation gauge integrals.

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"I can recommend this book for those seeking an overview of the concepts and results achieved during the past 15 years." Mathematical Reviews "This book is carefully written and should be accessible to anyone with a basic knowledge of classical integration theory and elementary functional analysis. The book contains an extensive bibliography and should be useful to those with interests in Banach space integration." Zentralblatt MATH

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Bochner integral	p. 1
Dunford and Pettis integrals	p. 27
McShane and Henstock-Kurzweil integrals	p. 45
More on the McShane integral	p. 87
Comparison of the Bochner and McShane integrals	p. 133
Comparison of the Pettis and McSgane integrals	p. 171
Primitive of the McShane and Henstock-Kurzweil integrals	p. 191
Generalizations of some integrals	p. 251
Classical Banach spaces	p. 277
Series in Banach spaces	p. 283
Table of Contents provided by Blackwell. All Rights Reserved.

Topics In Banach Space Integration

At a Glance

Hardcover

Industry Reviews

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How to return your order

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