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ON THE INSTABILITY OF THE ESSENTIAL SPECTRUM FOR BLOCK JACOBI MATRICES
Language
en
Article de revue
This item was published in
Constructive Approximation. 2018, vol. 48, n° 3, p. 473-500
Springer Verlag
English Abstract
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 ...Read more >
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.Read less <
English Keywords
unbounded (block) Jacobi matrices
instability of the essential spectrum
Levinson's asymptotic theory
Gilbert-Pearson subordinacy theory
Origin
Hal imported