Spectral properties of block Jacobi matrices

Abstract

We study the spectral properties of bounded and unbounded Jacobi matrices whose entries are bounded operators on a complex Hilbert space. In particular, we formulate conditions assuring that the spectrum of the studied operators is continuous. Uniform asymptotics of generalised eigenvectors and conditions implying complete indeterminacy are also provided.

27 pages

References in corpus (6)

• Quantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems
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• An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles
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• The Nevanlinna-type parametrization for the operator Hamburger moment problem

Cited by in corpus (3)

• Asymptotics of orthogonal polynomials with slowly oscillating recurrence coefficients
• Spectral properties of some complex Jacobi matrices
• Barrier nonsubordinacy and absolutely continuous spectrum of block Jacobi matrices