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 “Spectrum of generators of a noncommutative Banach algebra”
On the left and right joint spectra in Banach algebras
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.
Removing the interior of the spectrum
Gerald J. Murphy, Timothy Trevor West (1980)
Commentationes Mathematicae Universitatis Carolinae
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Functional calculus and the Gelfand transformation
M. Putinar (1984)
Studia Mathematica
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Banach-valued axiomatic spectra
S. Seán, Robin E. Harte (2006)
Studia Mathematica
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Using axiomatic joint spectra we obtain a functional calculus which extends our previous Gelfand-Waelbroeck type results to include a Banach-valued Taylor-Waelbroeck spectrum.
The Taylor spectrum and quotient Banach spaces
L. Waelbroeck (1982)
Banach Center Publications
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On joint spectra of commuting families of operators
W. Żelazko, Z. Słodkowski (1974)
Studia Mathematica
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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.
An axiomatic approach to joint spectra I
W. Żelazko (1979)
Studia Mathematica
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