Mathematics – Functional Analysis
Scientific paper
2007-05-29
Mathematics
Functional Analysis
18 pages. Results generalised to non-unital semilattices. Some errors corrected
Scientific paper
For any finite unital commutative idempotent semigroup S, a unital semilattice, we show how to compute the amenability constant of its semigroup algebra l^1(S), which is always of the form 4n+1. We then show that these give lower bounds to amenability constants of certain Banach algebras graded over semilattices. We show that there is no commutative semilattice with amenability constant between 5 and 9.
Ghandehari Mahya
Hatami Hamed
Spronk Nico
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