The strict dual of 𝐵*-algebras

Davenport, John W.

doi:10.1090/S0002-9939-1977-0632114-2

The strict dual of $B^*$-algebras
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by John W. Davenport PDF

Proc. Amer. Math. Soc. 65 (1977), 309-312 Request permission

Abstract:

If A is a closed two-sided ideal in the ${B^\ast }$-algebra X, then ${(X,{\beta _A})^\ast }$ with the strong topology is isomorphic to ${A^\ast }$, where ${\beta _A}$ is the strict topology on X.

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