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Fundamentalnaya i Prikladnaya Matematika, 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
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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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Document Type: Article
Language: Russian
Citation: L. I. Pugach, “Projective ideals of Banach algebras and approximative units”, Fundam. Prikl. Mat., 1:4 (1995), 1119–1123
Citation in format AMSBIB
\Bibitem{Pug95}
\by L.~I.~Pugach
\paper Projective ideals of Banach algebras and approximative units
\jour Fundam. Prikl. Mat.
\yr 1995
\vol 1
\issue 4
\pages 1119--1123
\mathnet{http://mi.mathnet.ru/fpm120}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1791798}
\zmath{https://zbmath.org/?q=an:0874.46034}
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