Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 56 min ago
PreprintCC BY 4.0HAL

Numerical range of finite perturbations of a 2-periodic weighted shift

  • Simon Marionnet
Open at sourcePDFCite

Abstract

In this note, we consider a weighted shift operator of weight sequence which is a finite perturbation of a 2-periodic weighted shift. We characterise the equality of the closure of its numerical range and its essential numerical range. We end up with some applications and comments.

Related

  1. Numerical range and invariant subspaces of weighted composition operators on the Hardy space of Dirichlet series
    Sudeshna Lahiri, Sarita Ojha, Subhadip Halder +1
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  2. Anderson localization in periodic elastic systems with random perturbations
    Xin Feng, Peijun Li, Wei Wu
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsCondensed matterarXiv
  3. Quantitative spectral stability and sharp Fourier estimates for periodic CMV matrices with decaying perturbations
    Moacir Aloisio, César R. de Oliveira, Mariane Pigossi
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  4. Vanishing discount selection for constant-sign local perturbations of periodic Hamiltonians
    Andrea Davini
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  5. Arithmetic k-Polynomial Dynamical Localization for k Power-Law Quasi-Periodic Long-Range Operators on ℓ2(ℤd)
    Ao Cai, Huihui Lv, Yuan Shan +1
    arXivPreprintarXiv licenceFull textDynamical systemsarXiv

Cite

BibTeXRIS
BibTeX
@misc{marionnet2026numerical,
  title = {{Numerical range of finite perturbations of a 2-periodic weighted shift}},
  author = {Simon Marionnet},
  howpublished = {HAL},
  year = {2026},
  month = nov,
  url = {https://hal.science/hal-05851739v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Numerical range of finite perturbations of a 2-periodic weighted shift
AU  - Simon Marionnet
PY  - 2026
DA  - 2026/11/04
PB  - HAL
UR  - https://hal.science/hal-05851739v1
AB  - In this note, we consider a weighted shift operator of weight sequence which is a finite perturbation of a 2-periodic weighted shift. We characterise the equality of the closure of its numerical range and its essential numerical range. We end up with some applications and comments.
ER  -