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Ideals with bounded approximate units in L1-algebras of locally compact groups

Published online by Cambridge University Press:  01 January 2000

EBERHARD KANIUTH
EBERHARD KANIUTH
Affiliation:
Fachbereich Mathematik/Informatik, Universität Paderborn, D-33095 Paderborn, Germany; e-mail: kaniuth@uni-paderborn.de
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Abstract

We show that for an arbitrary locally compact group G and for E in a certain class of closed subsets of the primitive ideal space of L1(G), the kernel k(E) has a bounded approximate unit. This generalizes some well-known previous results.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 128 , Issue 1 , January 2000 , pp. 65 - 77
Copyright
The Cambridge Philosophical Society 2000

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