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THE SECOND DUAL ALGEBRA OF THE MEASURE ALGEBRA OF A COMPACT GROUP

Published online by Cambridge University Press:  01 March 1997

F. GHAHRAMANI  and
J. P. McCLURE
F. GHAHRAMANI
Affiliation:
Department of Mathematics and Astronomy, University of Manitoba, Winnipeg R3T 2N2, Canada
J. P. McCLURE
Affiliation:
Department of Mathematics and Astronomy, University of Manitoba, Winnipeg R3T 2N2, Canada
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Abstract

It is shown that for every compact group G, L1(G)ˆ is unique and minimal among all the closed subsets I of M(G)** such that I is a proper (≠0, ≠M(G)**) algebraic ideal, and such that I is solid with respect to absolute continuity; that is, n∈L1(G)ˆ whenever n∈M(G)** and n[Lt ]μ∈L1(G)ˆ.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 2 , March 1997 , pp. 223 - 226
Copyright
© The London Mathematical Society 1997

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