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Let $ A $ be a Banach algebra, with second dual space $ A"" $. We propose to study the
space $ A"" $ as a Banach algebra. There are two Banach algebra products on $ A"" …

Let $ A $ be a Banach algebra with a bounded approximate identity. Let $ Z_1 $ and
$\widetilde Z_2 $ be, respectively, the topological centers of the algebras $ A^{**} $ and …

This important work provides a comprehensive overview of the properties of Banachspaces
related to strict convexity and a survey of significant applications-uniting a wealthof …

Let G be a topological semigroup, ie G is a semigroup with a Hausdorff topology such that
the map (a, b)→ ab from G× G into G is continuous when G× G has the product topology. Let …

We define for any locally compact group G, the space of bounded uniformly continuous
functionals on Ĝ, $ UCB (\hat G) $, in the context of P. Eymard [Bull. Soc. Math. France 92 …

Let A be a Banach algebra with a bounded left approximate identity. We denote,
respectively, by wap (A) and AA∗ the subspaces of A∗ consisting of the weakly almost …

The purpose of this note is to prove that if $ G $ is an amenable locally compact noncompact
group, then the set of topological left invariant means on ${L_\infty}(G) $ has cardinality …

This book will discuss a certain number of mutually related properties of Banach function
algebras, equivalently, of commutative, semisimple Banach algebras, on locally compact …

LetGbe a locally compact group. In this paper we study moduli of products of elements and
of multipliers of Banach algebras which are related to locally compact groups and which …