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We introduce the concept of a spectral shift operator and use it to derive Krein's spectral shift function for pairs of self-adjoint operators. Our principal tools are operator-valued Herglotz functions and their logarithms. Applications to Krein's t
Externí odkaz:
http://arxiv.org/abs/math/9901112
Autor:
JANAS, JAN, NABOKO, SERGUEI N.
Publikováno v:
Journal of Operator Theory, 1998 Jul 01. 40(1), 113-132.
Externí odkaz:
https://www.jstor.org/stable/24714730
Autor:
Kiselev, Alexander V.1,2 akiselev@mph.phys.spbu.ru, Naboko, Serguei N.2 naboko@snoopy.phys.spbu.ru
Publikováno v:
Journal of Computational & Applied Mathematics. Sep2006, Vol. 194 Issue 1, p115-130. 16p.