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Sizes of quotient spaces of certain function algebras on topological semigroups. (English) Zbl 0588.43003

Let S be a locally compact topological group. It is known that C(S)/LUC(S), \(L^{\infty}(S)/C(S)\) and the radical of \(L^{\infty}(S)^*\) are often nonseparable. In the present paper the author continues on his program of proving results like these for a broad class of topological semigroups.
Reviewer: P.Milnes

MSC:

43A15 \(L^p\)-spaces and other function spaces on groups, semigroups, etc.
46J30 Subalgebras of commutative topological algebras
22A20 Analysis on topological semigroups
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References:

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