Some Banach algebras without discontinuous derivations

Forrest, Brian

doi:10.1090/S0002-9939-1992-1068120-4

Some Banach algebras without discontinuous derivations
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Proc. Amer. Math. Soc. 114 (1992), 965-970 Request permission

Abstract:

It is shown that the completion of $A(G)$ in either the multiplier norm or the completely bounded multiplier norm is a Banach algebra without discontinuous derivations when $G$ is either ${F_2}$ or $\operatorname {SL}(2,\mathbb {R})$.

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