Qualitative properties of the peripheral spectrum
Jaroslav Zemánek (2007)
Banach Center Publications
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Jaroslav Zemánek (2007)
Banach Center Publications
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GH. Mocanu (1974)
Studia Mathematica
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H. J. Borchers (1986)
Recherche Coopérative sur Programme n°25
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Edward B. Burger, Amanda Folsom, Alexander Pekker, Rungporn Roengpitya, Julia Snyder (2002)
Acta Arithmetica
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Andrzej Pokrzywa (1985)
Studia Mathematica
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W. Żelazko (1979)
Studia Mathematica
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W. Żelazko, Z. Słodkowski (1974)
Studia Mathematica
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V. Rakočević (1981)
Matematički Vesnik
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Catană, Petronela (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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F. M. Dekking (1976)
Publications mathématiques et informatique de Rennes
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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).
Bendoukha, Berrabah (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 47A10, 47A13. In this paper, we give a description of Taylor spectrum of commuting 2-contractions in terms of characteritic functions of such contractions. The case of a single contraction obtained by B. Sz. Nagy and C. Foias is generalied in this work.