Functional calculus and the Gelfand transformation
M. Putinar (1984)
Studia Mathematica
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Displaying similar documents to “Banach-valued axiomatic spectra”
Functional calculus and the Gelfand transformation
Spectrum of generators of a noncommutative Banach algebra
Vladimír Müller, Andrzej Sołtysiak (1989)
Studia Mathematica
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An axiomatic approach to joint spectra I
W. Żelazko (1979)
Studia Mathematica
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On joint spectra of commuting families of operators
W. Żelazko, Z. Słodkowski (1974)
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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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.