Perturbações unitárias multiplicativas
Loading...
Files
Date
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Universidade Federal de São Carlos
DOI
Abstract
For the self-adjoint operator H, the perturbation H+A, with A also a self-adjoint operator, there is a long list of results regarding the spectrum of this perturbation. We study the spectrum of a multiplicative perturbation XU (UX) with U and X unitary operators. Specifically, we find similar results for the Howland, Weyl-von Neumann Theorems and the continuous singular spectrum for a perturbation of rank one.
Description
Keywords
Operadores auto-adjuntos , Operadores unitários , Perturbações multiplicativas , Decomposição espectral , Teorema de Birman-Krein , Teorema de Weyl-von Neumann , Teorema de Howland , Self-adjoint operators , Unitary operators , Multiplicative perturbations , Spectral decomposition , Birman-Krein Theorem , Weyl-von Neumann Theorem , Howland Theorem
Citation
DÍAZ, Pablo. Perturbações unitárias multiplicativas. 2023. Tese (Doutorado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2023. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/18123.
Collections
Endorsement
Review
Supplemented By
Referenced By
Creative Commons license
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Brazil