On joint spectra of commuting families of operators
W. Żelazko, Z. Słodkowski (1974)
Studia Mathematica
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W. Żelazko, Z. Słodkowski (1974)
Studia Mathematica
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Takashi Ichinose (1982)
Banach Center Publications
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J. Janas (1984)
Annales Polonici Mathematici
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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).
Taylor, A. E.
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P. A. Cojuhari, A. M. Gomilko (2008)
Studia Mathematica
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The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
Ragimov, Misir B. (2003)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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W. Żelazko (1979)
Studia Mathematica
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Muneo Chō, Makoto Takaguchi (1981)
Studia Mathematica
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V. Caselles, F. Aràndiga (1992)
Mathematische Zeitschrift
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