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Topics in Banach space integration

✍ Scribed by Stefan Schwabik

Book ID
127418929
Publisher
World Scientific
Year
2005
Tongue
English
Weight
3 MB
Series
Series in real analysis 10
Category
Library
City
New Jersey
ISBN
9812703284

No coin nor oath required. For personal study only.

✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Topics in Banach space theory
Topics in Banach space theory
✍ Fernando Albiac, Nigel J. Kalton πŸ“‚ Library πŸ“… 2006 πŸ› Springer 🌐 English βš– 2 MB

Assuming only a basic knowledge of functional analysis, the book gives the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) a