Abstract
1. Introduction. The aim of this paper is to show that, in every complex Banach algebra with a one-sided or two-sided bounded approximate identity, there exists another bounded approximate identity of the same sort whose spectra lie close to the unit interval [0, 1].
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. Factorization and unbounded approximate identities in Banach algebras;Mathematical Proceedings of the Cambridge Philosophical Society;1990-05
2. Spectra of Left Approximate Identities in Banach Algebras;Bulletin of the London Mathematical Society;1987-03
3. The numerical range in the second dual of a Banach algebra;Mathematical Proceedings of the Cambridge Philosophical Society;1981-03