On a perturbation determinant for accumulative operators
Spectral Theory
2014-12-23 v1 Mathematical Physics
math.MP
Abstract
For a purely imaginary sign-definite perturbation of a self-adjoint operator, we obtain exponential representations for the perturbation determinant in both upper and lower half-planes and derive respective trace formulas.
Keywords
Cite
@article{arxiv.1412.6633,
title = {On a perturbation determinant for accumulative operators},
author = {Konstantin A. Makarov and Anna Skripka and Maxim Zinchenko},
journal= {arXiv preprint arXiv:1412.6633},
year = {2014}
}
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15 pages