On the fine spectrum of the generalized difference operator over the sequence spaces and .
Altay, Bilâl, Başar, Feyzi (2005)
International Journal of Mathematics and Mathematical Sciences
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Altay, Bilâl, Başar, Feyzi (2005)
International Journal of Mathematics and Mathematical Sciences
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Jaroslav Zemánek (2007)
Banach Center Publications
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Catană, Petronela (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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H. J. Borchers (1986)
Recherche Coopérative sur Programme n°25
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Vladimír Müller, Andrzej Sołtysiak (1988)
Commentationes Mathematicae Universitatis Carolinae
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Benharrat, Mohammed, Messirdi, Bekkai (2011)
Serdica Mathematical Journal
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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.
GH. Mocanu (1974)
Studia Mathematica
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Edward B. Burger, Amanda Folsom, Alexander Pekker, Rungporn Roengpitya, Julia Snyder (2002)
Acta Arithmetica
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Bucur, Amelia (1996)
General Mathematics
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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.
Thomas Laffey (1997)
Banach Center Publications
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Let σ=(λ1,...,λn) be the spectrum of a nonnegative real n × n matrix. It is shown that σ is the spectrum of a nonnegative real n × n matrix having at most nonzero entries.