On the left and right joint spectra in Banach algebras
Che-Kao Fong, Andrzej Sołtysiak (1990)
Studia Mathematica
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Displaying similar documents to “A geometric condition equivalent to commutativity in Banach algebras”
On the left and right joint spectra in Banach algebras
Spectrum of generators of a noncommutative Banach algebra
Vladimír Müller, Andrzej Sołtysiak (1989)
Studia Mathematica
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Some uses of subharmonicity in functional analysis
Bernard Aupetit (1982)
Banach Center Publications
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Removing the interior of the spectrum
Gerald J. Murphy, Timothy Trevor West (1980)
Commentationes Mathematicae Universitatis Carolinae
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Commutators of quasinilpotents and invariant subspaces
A. Katavolos, C. Stamatopoulos (1998)
Studia Mathematica
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It is proved that the set Q of quasinilpotent elements in a Banach algebra is an ideal, i.e. equal to the Jacobson radical, if (and only if) the condition [Q,Q] ⊆ Q (or a similar condition concerning anticommutators) holds. In fact, if the inner derivation defined by a quasinilpotent element p maps Q into itself then p ∈ Rad A. Higher commutator conditions of quasinilpotents are also studied. It is shown that if a Banach algebra satisfies such a condition, then every quasinilpotent element...
On a certain class of subspectra
Andrzej Sołtysiak (1991)
Commentationes Mathematicae Universitatis Carolinae
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The aim of this paper is to characterize a class of subspectra for which the geometric spectral radius is the same and depends only upon a commuting -tuple of elements of a complex Banach algebra. We prove also that all these subspectra have the same capacity.