Spectrum of generators of a noncommutative Banach algebra
Vladimír Müller, Andrzej Sołtysiak (1989)
Studia Mathematica
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Displaying similar documents to “On the left and right joint spectra in Banach algebras”
Spectrum of generators of a noncommutative Banach algebra
Approximate point joint spectra and multiplicative functionals
Andrzej Sołtysiak (1987)
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On joint spectra of commuting families of operators
W. Żelazko, Z. Słodkowski (1974)
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An axiomatic approach to joint spectra I
W. Żelazko (1979)
Studia Mathematica
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On the largest generalized joint spectrum
Vladimír Müller, Andrzej Sołtysiak (1988)
Commentationes Mathematicae Universitatis Carolinae
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On the axiomatic theory of spectrum
V. Kordula, V. Müller (1996)
Studia Mathematica
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There are a number of spectra studied in the literature which do not fit into the axiomatic theory of Żelazko. This paper is an attempt to give an axiomatic theory for these spectra, which, apart from the usual types of spectra, like one-sided, approximate point or essential spectra, include also the local spectra, the Browder spectrum and various versions of the Apostol spectrum (studied under various names, e.g. regular, semiregular or essentially semiregular).
On joint spectra of operators on a Banach space isomorphic to its square
Andrzej Sołtysiak (1989)
Colloquium Mathematicae
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Functional calculus and the Gelfand transformation
M. Putinar (1984)
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The splitting spectrum differs from the Taylor spectrum
V. Müller (1997)
Studia Mathematica
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We construct a pair of commuting Banach space operators for which the splitting spectrum is different from the Taylor spectrum.