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Isomorphisms between Semisimple Weighted Measure Algebras

Authors:	Ghahramani F

Institution:	Department of Mathematics and Astronomy, University of Manitoba Winnipeg, Manitoba R3T 2N2, Canada

Abstract:	It is shown that, if ${theta}$ is an isomorphism between semisimple weightedmeasure algebras M(w₁) and M(w₂), then ${theta}$ maps L¹(R⁺, w₁) ontoL¹(R⁺, w₂). This is used to describe all the automorphisms ofM(R⁺, w). A necessary and sufficient condition is given forM(w₁) and M(w₂) to be isomorphic.

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