On compact multipliers of Banach algebras

Kamowitz, Herbert

doi:10.1090/S0002-9939-1981-0589140-2

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On compact multipliers of Banach algebras
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by Herbert Kamowitz

Proc. Amer. Math. Soc. 81 (1981), 79-80

DOI: https://doi.org/10.1090/S0002-9939-1981-0589140-2

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Abstract:

We show that if the maximal ideal space of a commutative semisimple Banach algebra $B$ contains no isolated points, then every compact multiplier is trivial.

References

M. Dutta and U. B. Tewari, On multipliers of Segal algebras, Proc. Amer. Math. Soc. 72 (1978), no. 1, 121–124. MR 493166, DOI 10.1090/S0002-9939-1978-0493166-7
Stephen H. Friedberg, Compact multipliers on Banach algebras, Proc. Amer. Math. Soc. 77 (1979), no. 2, 210. MR 542086, DOI 10.1090/S0002-9939-1979-0542086-9