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Topics In Banach Space Integration

Topics In Banach Space Integration by Štefan Schwabik
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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.
World Scientific Publishing Company; August 2005
313 pages; ISBN 9789814479684
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Title: Topics In Banach Space Integration
Author: Štefan Schwabik; Ye Guoju