On rank one and Weyl–von Neumann theorem for multiplicative perturbations of unitary operators
Vanderléa R. Bazao
Universidade Federal da Grande Dourados, Dourados, MS, BrazilCésar R. de Oliveira
Universidade Federal de São Carlos, São Carlos, SP, BrazilPablo A. Diaz
Universidade Federal de São Carlos, São Carlos, SP, Brazil
Abstract
For multiplicative perturbations of unitary operators, it is presented a version of Weyl–von Neumann theorem and a sufficient conditions for generic (in the intensity parameter) singular continuous spectrum under unitary rank one perturbations.
Cite this article
Vanderléa R. Bazao, César R. de Oliveira, Pablo A. Diaz, On rank one and Weyl–von Neumann theorem for multiplicative perturbations of unitary operators. Z. Anal. Anwend. 43 (2024), no. 1/2, pp. 199–207
DOI 10.4171/ZAA/1748