Embedding C(X) in an algebra of analytic functions
H. Dales (1982)
Banach Center Publications
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H. Dales (1982)
Banach Center Publications
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W. Badé, P. Curtis, K. Laursen (1980)
Studia Mathematica
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George Maltese, Regina Wille-Fier (1988)
Studia Mathematica
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Ignacio Zalduendo (1991)
Publicacions Matemàtiques
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A simple and natural example is given of a non-commuting Arens multiplication.
Volker Runde (1993)
Studia Mathematica
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Let A be a Banach algebra, and let D : A → A be a (possibly unbounded) derivation. We are interested in two problems concerning the range of D: 1. When does D map into the (Jacobson) radical of A? 2. If [a,Da] = 0 for some a ∈ A, is Da necessarily quasinilpotent? We prove that derivations satisfying certain polynomial identities map into the radical. As an application, we show that if [a,[a,[a,Da]]] lies in the prime radical of A for all a ∈ A, then D maps into the radical. This generalizes...
Konin Koua (1985)
Mathematica Scandinavica
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Ulrich Güntzer (1974)
Mémoires de la Société Mathématique de France
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L. Waelbroeck (1982)
Banach Center Publications
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Joel F. Feinstein, Herbert Kamowitz (2010)
Banach Center Publications
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This paper is a continuation of our study of compact, power compact, Riesz, and quasicompact endomorphisms of commutative Banach algebras. Previously it has been shown that if B is a unital commutative semisimple Banach algebra with connected character space, and T is a unital endomorphism of B, then T is quasicompact if and only if the operators Tⁿ converge in operator norm to a rank-one unital endomorphism of B. In this note the discussion is extended in two ways: we discuss endomorphisms...
Graham Allan, Allan Sinclair (1976)
Studia Mathematica
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Thomas, Gary M. (1981)
Portugaliae mathematica
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