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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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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GH. Mocanu (1974)
Studia Mathematica
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F. M. Dekking (1976)
Publications mathématiques et informatique de Rennes
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Andrzej Pokrzywa (1985)
Studia Mathematica
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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.
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.
Vladimír Müller, Andrzej Sołtysiak (1988)
Commentationes Mathematicae Universitatis Carolinae
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V. Rakočević (1981)
Matematički Vesnik
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San Vũ Ngọc (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
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This text deals with in a semiclassical setting. Given a quantum system, the haunting question is “What interesting quantities can be discovered on the spectrum that can help to characterize the system ?” The general framework will be semiclassical analysis, and the issue is to recover the classical dynamics from the quantum spectrum. The coupling of a spin and an oscillator is a fundamental example in physics where some nontrivial explicit calculations can be done.