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Isomorphisms of some Segal algebras and their multiplier algebras

Published online by Cambridge University Press:  17 April 2009

U.B. Tewari  and
K. Parthasarathy
U.B. Tewari
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kanpur 208016, U.P., India.
K. Parthasarathy
Affiliation:
Department of Mathematics, University of Calicut, Calicut 673635, India.
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Abstract

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Let G1, G2, be locally compact groups and let S1, S2, be Segal algebras on G1, G2, respectively. Under certain conditions on G1, G2, and S1, S2, we prove that if there is a bipositive or isometric isomorphism between S1, S2, or between their multiplier algebras then G1, and G2, are topologically isomorphic.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 25 , Issue 3 , June 1982 , pp. 441 - 451
Copyright
Copyright © Australian Mathematical Society 1982

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