On the Trace Formula of Perturbation Theory. II
作者:
Peter Jonas,
期刊:
Mathematische Nachrichten
(WILEY Available online 1999)
卷期:
Volume 197,
issue 1
页码: 29-49
ISSN:0025-584X
年代: 1999
DOI:10.1002/mana.19991970104
出版商: WILEY‐VCH Verlag
关键词: Trace formula;spectral shift function;unitary operators in a Krein space;locally definitizable operators;local wave operators
数据来源: WILEY
摘要:
AbstractIn a previous paper for a class of pairs of operators in a Hilbert space with nuclear difference or under a more general nuclearity condition there was introduced a spectral shift functional. Here we consider the local integrability of this spectral shift functional, i.e., the problem when this functional can locally be represented by an integrable function. The general results are then applied to pairs of definitizable and locally definitizable unitary operators in a Krein space.
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