Multipliers and duality in 𝐴*-algebras

Tomiuk, Bohdan J.

doi:10.1090/S0002-9939-1975-0372627-2

Multipliers and duality in $A^{\ast }$-algebras
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by Bohdan J. Tomiuk PDF

Proc. Amer. Math. Soc. 50 (1975), 281-288 Request permission

Abstract:

Let $A$ be an ${A^ \ast }$-algebra which is a dense $\ast$-ideal of a ${B^ \ast }$-algebra. Let ${M_r}(A)$ be the algebra of all bounded linear right multipliers on $A$. We obtain several characterizations of duality for $A$ in terms of the weak operator topology on ${M_r}(A)$ and the embedding of ${M_r}(A)$ into the conjugate space of a Banach space.

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