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Convolution operators associated with vector measures

Published online by Cambridge University Press:  18 May 2009

Mangatiana A. Robdera  and
Paulette Saab
Mangatiana A. Robdera
Affiliation:
Mangatiana A. Robdera William Paterson College, 300 Pompto N Rd.Wayne, NJ 07470, E-mail: robdera@frontier.wilpaterson.edu
Paulette Saab
Affiliation:
Paulette Saab Department of Mathematics, University of Missouri, Columbia, Mo 65211, E-mail: paula@math.missouri.edu
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Abstract

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Inthis note, we present a thorough investigation of convolution operators that are naturally associated to vector measures. We characterize those convolution operators that are weakly compact and compact on Ll(G) and C(G) as well as those that are p summing, (1 ≤ p ≤ ∞) and nuclear on C(G).

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 40 , Issue 3 , September 1998 , pp. 367 - 384
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998

References

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