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math.SP2010
Singular spectral shift and Pushnitski -invariant
Nurulla Azamov
In this paper it is shown that in case of trace class perturbations the singular part of Pushnitski -invariant does not depend on the angle variable. This gives an alternative p…
math.SP2010★ 2 cited
Non-trivial singular spectral shift functions exist
Nurulla Azamov
In this paper I prove existence of an irreducible pair of operators and where is a self-adjoint operator and is a self-adjoint trace-class operator, such that th…
math.SP2010★ 2 cited
Singular spectral shift is additive
Nurulla Azamov
In this note it is shown that for trace-class perturbations of self-adjoint operators the singular part of the spectral shift function is additive.