On unconditional basisness of B-quasi-exponentials
Spectral Theory
2010-01-29 v2
Abstract
We consider a quasinilpotent operator whose resolvent is entire operator function of exponential type. Let A be its one-dimensional perturbation. We establish necessity of Muckenhoupt condition (A2) for two weights related to operator A for unconditional basisness of its eigenfunctions. Note that no apriori restrictions are imposed on the spectrum of A.
Cite
@article{arxiv.1001.3983,
title = {On unconditional basisness of B-quasi-exponentials},
author = {Arkadi Minkin},
journal= {arXiv preprint arXiv:1001.3983},
year = {2010}
}
Comments
AmsLatex, 13 pages. Changed formualtion of Lemma 3.3 and reworked Lemma 3.1