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arXiv · 0906.2631

Riesz Bases for p-Subordinate Perturbations of Normal Operators

Christian Wyss
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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.

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Christian Wyss. 2009-06-15. Riesz Bases for p-Subordinate Perturbations of Normal Operators. https://doi.org/10.1016/j.jfa.2009.09.001

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