Riesz Bases for p-Subordinate Perturbations of Normal Operators

Details Riesz Bases for p-Subordinate Perturbations of Normal Operators Riesz Bases for p-Subordinate Perturbations of Normal Operators

2009-06-15

arxiv.org/abs/0906.2631v1

J. Funct. Anal., 258(1) (2010), 208--240

Mathematics

Functional Analysis

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

Scientific paper

10.1016/j.jfa.2009.09.001

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.

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