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Continuity of Derivations on Some Semiprime Banach Algebra
Journal article   Open access   Peer reviewed

Continuity of Derivations on Some Semiprime Banach Algebra

Proceedings of the American Mathematical Society, v 99(2), 289
01 Feb 1987
url
https://doi.org/10.1090/S0002-9939-1987-0870787-6View
Published, Version of Record (VoR) Restricted

Abstract

Algebra Logical proofs Mathematical integrals Mathematical theorems Mathematics
If every prime ideal is closed in a commutative semiprime Banach algebra with unit, then every derivation on it is continuous. Also if derivations are continuous on integral domains, then they are continuous on semiprime Banach algebras.

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