Vol. 87, No. 1, 1980

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A characterization of LC-nonremovable ideals in commutative Banach algebras

Wieslaw Zelazko

Vol. 87 (1980), No. 1, 241–248
Abstract

Let A be a commutative Banach algebra with an identity e. Our main result states that an ideal I A is contained in a proper ideal IB of B for every locally convex extension B of A if and only if the ideal I consists of joint topological divisors of zero.

Mathematical Subject Classification 2000
Primary: 46J20
Milestones
Received: 12 July 1979
Published: 1 March 1980
Authors
Wieslaw Zelazko