Concerning spectral characterizations of the radical in Banach algebras
Jaroslav Zemánek (1976)
Commentationes Mathematicae Universitatis Carolinae
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Jaroslav Zemánek (1976)
Commentationes Mathematicae Universitatis Carolinae
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Graham Allan (1996)
Studia Mathematica
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The class of elements of locally finite closed descent in a commutative Fréchet algebra is introduced. Using this notion, those commutative Fréchet algebras in which the algebra ℂ[[X]] may be embedded are completely characterized, and some applications to the theory of automatic continuity are given.
P. Dixon (1972)
Studia Mathematica
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Jean Esterle (1981)
Journal für die reine und angewandte Mathematik
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Naoual Kouki, Mohamed Ali Toumi (2015)
Topological Algebra and its Applications
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In this paper we prove that the image of a nth order derivation on real commutative Banach ℓ-algebras with positive squares is contained in the set of nilpotent elements.
Dina Štěrbová (1978)
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika
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P. Dixon, V. Müller (1992)
Studia Mathematica
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A Banach algebra A is said to be topologically nilpotent if tends to 0 as n → ∞. We continue the study of topologically nilpotent algebras which was started in [2]