On the left and right joint spectra in Banach algebras
Che-Kao Fong, Andrzej Sołtysiak (1990)
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Che-Kao Fong, Andrzej Sołtysiak (1990)
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Vladimír Müller, Andrzej Sołtysiak (1988)
Commentationes Mathematicae Universitatis Carolinae
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W. Żelazko, Z. Słodkowski (1974)
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Volker Wróbel (1986)
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GH. Mocanu (1974)
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W. Żelazko (1979)
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Vladimír Müller, Andrzej Sołtysiak (1989)
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Muneo Chō, Makoto Takaguchi (1981)
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V. Kordula, V. Müller (1996)
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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).