2010/08/25 by Nurulla Azamov, Azamov, Nurulla
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP) #math.FA #math.SP
paper · pdf · doi:10.48550/arxiv.1008.4231
10 pages
arxiv created 2010/08/25 · arxiv updated 2010/08/26
In this paper I prove existence of an irreducible pair of operators H and H+V, where H is a self-adjoint operator and V is a self-adjoint trace-class operator, such that the singular spectral shift function of the pair is non-zero on the absolutely continuous spectrum of the operator H.