Riesz Bases for p-Subordinate Perturbations of Normal Operators
Functional Analysis
2010-05-31 v1 Spectral Theory
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.
Keywords
Cite
@article{arxiv.0906.2631,
title = {Riesz Bases for p-Subordinate Perturbations of Normal Operators},
author = {Christian Wyss},
journal= {arXiv preprint arXiv:0906.2631},
year = {2010}
}
Comments
30 pages, 4 figures, submitted to J. Funct. Anal