Entire functions and compact operators with $S_p$-imaginary component

Details Entire functions and compact operators with $S_p$-imaginary component Entire functions and compact operators with $S_p$-imaginary component

2000-07-03

arxiv.org/abs/math/0007012v1

Mathematics

Spectral Theory

23 pages, to be published in Israel Math. Conf. Proc

Scientific paper

We study operators of the form X+Y where Y has a finite p-th Schatten norm
(p<2), and X is self-adjoint and of Hilbert-Schmidt class. Our study is based
on new theorems on zero distribution of entire functions of finite order.

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