Properties of the spectral radius in Banach algebras
Jaroslav Zemánek (1982)
Banach Center Publications
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Displaying similar documents to “Spectral characterization of two-sided ideals in Banach algebras”
Properties of the spectral radius in Banach algebras
A survey of recent results on the spectral radius in Banach algebras
Zemánek, Jaroslav
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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...
Some uses of subharmonicity in functional analysis
Bernard Aupetit (1982)
Banach Center Publications
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On discontinuity of the spectral radius in Banach algebras
Vladimír Müller (1977)
Commentationes Mathematicae Universitatis Carolinae
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Counterexample on semiradial Banach algebras
M. M. Talabani (1982)
Colloquium Mathematicae
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Comparisons between different spectra of an element in a Banach algebra.
Burlando, Laura (1993)
International Journal of Mathematics and Mathematical Sciences
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Continuity of spectrum and spectral radius in Banach algebras
Laura Burlando (1994)
Banach Center Publications
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This survey deals with necessary and/or sufficient conditions for continuity of the spectrum and spectral radius functions at a point of a Banach algebra.