Direct integrals and spectral averaging

A one parameter family of selfadjoint operators gives rise to a corresponding direct integral. We show how to use the Putnam Kato theorem to obtain a new method for the proof of a spectral averaging result.

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Bibliographic Details
Published in:arXiv.org 2010-11
Main Authors: Krishna, M, Stollmann, P
Format: Article
Language:English
Subjects:
Integrals
Operators (mathematics)
Online Access:Get full text
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Summary:A one parameter family of selfadjoint operators gives rise to a corresponding direct integral. We show how to use the Putnam Kato theorem to obtain a new method for the proof of a spectral averaging result.
ISSN:2331-8422