JournalszaaVol. 43, No. 1/2pp. 199–207

On rank one and Weyl–von Neumann theorem for multiplicative perturbations of unitary operators

  • Vanderléa R. Bazao

    Universidade Federal da Grande Dourados, Dourados, MS, Brazil

  • César R. de Oliveira

    Universidade Federal de São Carlos, São Carlos, SP, Brazil

  • Pablo A. Diaz

    Universidade Federal de São Carlos, São Carlos, SP, Brazil
On rank one and Weyl–von Neumann theorem for multiplicative perturbations of unitary operators cover
Download PDF

This article is published open access under our Subscribe to Open model.

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