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Topics In Banach Space Integration

Series In Real Analysis 10

By (author) Etefan Schwabik, Ye Guoju
Format: Hardback
Publisher: World Scientific Publishing Co Pte Ltd, Singapore, Singapore
Published: 17th Aug 2005
Dimensions: w 174mm h 231mm d 21mm
Weight: 590g
ISBN-10: 9812564284
ISBN-13: 9789812564283
Barcode No: 9789812564283
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