ON THE INSTABILITY OF THE ESSENTIAL SPECTRUM FOR BLOCK JACOBI MATRICES
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en
Article de revue
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Constructive Approximation. 2018, vol. 48, n° 3, p. 473-500
Springer Verlag
Resumen en inglés
We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matrices from certain classes to have a discrete ...Leer más >
We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matrices from certain classes to have a discrete spectrum on a half-axis of a real line. An extensive list of examples showing the sharpness of obtained results is provided.< Leer menos
Palabras clave en inglés
unbounded (block) Jacobi matrices
instability of the essential spectrum
Levinson's asymptotic theory
Gilbert-Pearson subordinacy theory
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