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Some Inequalities arising from a Banach algebra norm

Part of: Real functions Commutative Banach algebras and commutative topological algebras

Published online by Cambridge University Press:  09 April 2009

A. M. Russell
A. M. Russell
Affiliation:
Department of Mathematics University of Melbourne Parkville, Victoria 3052, Australia
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Abstract

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We derive some specific inequalities involving absolutely continuous functions and relate them to a norm inequality arising from Banach algebras of functions having bounded k th variation.

Keywords

absolutely continuous functiongeneralized bounded variationBanach algebra.

MSC classification

Secondary: 26A45: Functions of bounded variation, generalizations 46J10: Banach algebras of continuous functions, function algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 2 , April 1983 , pp. 199 - 202
Copyright
Copyright © Australian Mathematical Society 1983

References

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