FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 4, PAGES 1119-1123

Projective ideals of Banach algebras and approximative units

L.I.Pugach

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.

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