Qualitative properties of the peripheral spectrum
Jaroslav Zemánek (2007)
Banach Center Publications
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Displaying similar documents to “The Martin compactification of the polydisc at the bottom of the positive spectrum.”
Qualitative properties of the peripheral spectrum
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2010 Mathematics Subject Classification: 47A10. We show that the symmetric difference between the generalized Kato spectrum and the essential spectrum defined in [7] by sec(T) = {l О C ; R(lI-T) is not closed } is at most countable and we also give some relationship between this spectrum and the SVEP theory.
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Taylor Spectrum and Characteristic Functions of Commuting 2-Contractions
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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.