Topics In Banach Space Integration

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A01=Guoju Ye
A01=Stefan Schwabik
Author_Guoju Ye
Author_Stefan Schwabik
Bochner Integral
Category=PBKF
Convergence Theorems for Integrals
Denjoy Integral
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Functional Analysis
Henstock-Kurzweil Integral
Integration
McShane Integral
Pettis Integral

Product details

  • ISBN 9789812564283
  • Publication Date: 17 Aug 2005
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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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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