Spectral radius characterization of commutativity in Banach algebras
Jaroslav Zemánek (1977)
Studia Mathematica
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Displaying similar documents to “On discontinuity of the spectral radius in Banach algebras”
Spectral radius characterization of commutativity in Banach algebras
Properties of the spectral radius in Banach algebras
Jaroslav Zemánek (1982)
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A survey of recent results on the spectral radius in Banach algebras
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On Banach algebras satisfying a spectral maximum principle
E. Vesentini (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Survey of some results in spectral theory obtained in Prague
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Perturbation and spectral discontinuity in Banach algebras
Rudi Brits (2011)
Studia Mathematica
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We extend an example of B. Aupetit, which illustrates spectral discontinuity for operators on an infinite-dimensional separable Hilbert space, to a general spectral discontinuity result in abstract Banach algebras. This can then be used to show that given any Banach algebra, Y, one may adjoin to Y a non-commutative inessential ideal, I, so that in the resulting algebra, A, the following holds: To each x ∈ Y whose spectrum separates the plane there corresponds a perturbation of x, of...