Entire functions and compact operators with $S_p$-imaginary component
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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.
23 pages, to be published in Israel Math. Conf. Proc
23 pages, to be published in Israel Math. Conf. Proc