Journal of Operator Theory

Volume 69, Issue 1, Winter 2013 pp. 279-285.

Direct integrals and spectral averaging

Authors: M. Krishna (1) and Peter Stollmann (2)
Author institution: (1) Institute of Mathematical Sciences, Taramani, Chennai 600113, India
(2) Department of Mathematics, Technical University of Chemnitz, 09107 Chemnitz, Germany

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.

Keywords: spectral averaging, density of states, absolute continuity

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