The Semigroup Algebra \(\ell ^1(\mathbb Z^2,\max )\) is a Bochner–Schoenberg–Eberlein (BSE) Algebra
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The result stated in the title is proved and is applied to show that the corresponding multiplier algebra and unitization are also BSE-algebras.
KeywordsSemigroup algebra semigroup multipliers multipliers on commutative Banach algebras BSE property
Mathematics Subject Classification46J05 20M14
The authors are thankful to Professor S. J. Bhatt for fruitful discussions. The authors are thankful to the referee for critical reading of manuscript and fruitful suggestions.