Approximation of the Spectrum of a Non-Compact Operator Given by the Magnetohydrodynamic Stability of a Plasma.
J. Rappaz (1977)
Numerische Mathematik
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J. Rappaz (1977)
Numerische Mathematik
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Jaroslav Zemánek (2007)
Banach Center Publications
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Michael Gil (2012)
Annales UMCS, Mathematica
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We consider a second order regular differential operator whose coefficients are nonselfadjoint bounded operators acting in a Hilbert space. An estimate for the resolvent and a bound for the spectrum are established. An operator is said to be stable if its spectrum lies in the right half-plane. By the obtained bounds, stability and instability conditions are established.
Michael Gil’ (2012)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We consider a second order regular differential operator whose coefficients are nonselfadjoint bounded operators acting in a Hilbert space. An estimate for the resolvent and a bound for the spectrum are established. An operator is said to be stable if its spectrum lies in the right half-plane. By the obtained bounds, stability and instability conditions are established.
Edward B. Burger, Amanda Folsom, Alexander Pekker, Rungporn Roengpitya, Julia Snyder (2002)
Acta Arithmetica
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Recherche Coopérative sur Programme n°25
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GH. Mocanu (1974)
Studia Mathematica
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Andrzej Pokrzywa (1985)
Studia Mathematica
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G.W. Stewart (1975)
Numerische Mathematik
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F. M. Dekking (1976)
Publications mathématiques et informatique de Rennes
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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.