Riesz Bases for p-Subordinate Perturbations of Normal Operators

Abstract

For p-subordinate perturbations of unbounded normal operators, the change of the spectrum is studied and spectral criteria for the existence of a Riesz basis with parentheses of root vectors are established. A Riesz basis without parentheses is obtained under an additional a priori assumption on the spectrum of the perturbed operator. The results are applied to two classes of block operator matrices.

30 pages, 4 figures, submitted to J. Funct. Anal

References in corpus (1)

• Analyticity and Riesz basis property of semigroups associated to damped vibrations

Cited by in corpus (8)

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• Completeness of rank one perturbations of normal operators with lacunary spectrum
• Bifurcation of nonlinear eigenvalues in problems with antilinear symmetry
• Weighted multiple interpolation and the control of perturbed semigroup systems
• Local form subordination without a power decay and a criterion of Riesz basesness