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The Spectral Shift Function and the Invariance Principle

✍ Scribed by Alexander Pushnitski

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
308 KB
Volume
183
Category
Article
ISSN
0022-1236

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✦ Synopsis

The new representation formula for the spectral shift function due to F. Gesztesy and K. A. Makarov is considered. This formula is extended to the case of relatively trace class perturbations. The proof is based on the analysis of a certain new unitary invariant for a pair of self-adjoint operators.

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