Power factorization in Banach algebras with a bounded approximate identity
Graham Allan, Allan Sinclair (1976)
Studia Mathematica
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Displaying similar documents to “Factorization in Banach algebras”
Power factorization in Banach algebras with a bounded approximate identity
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There has been a considerable search for radical, amenable Banach algebras. Noncommutative examples were finally found by Volker Runde [R]; here we present the first commutative examples. Centrally placed within the construction, the reader may be pleased to notice a reprise of the undergraduate argument that shows that a normed space with totally bounded unit ball is finite-dimensional; we use the same idea (approximate the norm 1 vector x within distance η by a “good” vector ; then...