To solving multiparameter problems of algebra. 6. Spectral characteristics of polynomial matrices.
Kublanovskaya, V.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Kublanovskaya, V.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Khazanov, V.B. (2004)
Zapiski Nauchnykh Seminarov POMI
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Raikov, G.D. (1999)
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Taylor, A. E.
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P. A. Cojuhari, A. M. Gomilko (2008)
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The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
Jean Dolbeault, Maria Esteban, Eric Séré (2006)
Journal of the European Mathematical Society
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This paper is concerned with an extension and reinterpretation of previous results on the variational characterization of eigenvalues in gaps of the essential spectrum of self-adjoint operators. We state two general abstract results on the existence of eigenvalues in the gap and a continuation principle. Then these results are applied to Dirac operators in order to characterize simultaneously eigenvalues corresponding to electronic and positronic bound states.
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Carlos Hernández-Garciadiego (1986)
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Fundamenta Mathematicae
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