- 99-90 Fritz Gesztesy and Konstantin A. Makarov
- Some Applications of the Spectral Shift Operator
(91K, LaTeX)
Mar 30, 99
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Abstract. The recently introduced concept of a spectral shift operator
is applied in several instances. Explicit applications
include Krein's trace formula for pairs of self-adjoint
operators, the Birman-Solomyak spectral averaging formula
and its operator-valued extension, and an abstract approach
to trace formulas based on perturbation theory and the
theory of self-adjoint extensions of symmetric operators.
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