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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 1995 Volume 1, Issue 4, Pages 1119–1123 (Mi fpm120)

Short communications

Projective ideals of Banach algebras and approximative units

L. I. Pugach

Bryansk Institute of Transport Engineering

Abstract: It is shown that if an ideal of a commutative Banach algebra has a Schauder base, then it is projective iff it contains an approximative unit with some special properties. For uniform algebras a criterion is formulated in terms of peak sets.

Received: 01.01.1995



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