English

Norms of polynomials of the Volterra operator

Functional Analysis 2022-08-02 v2

Abstract

We compute the operator norm of real-quadratic polynomials of the Volterra operator. This is used to test whether the Crouzeix conjecture holds for the Volterra operator.

Keywords

Cite

@article{arxiv.2206.09947,
  title  = {Norms of polynomials of the Volterra operator},
  author = {Thomas Ransford and Nathan Walsh},
  journal= {arXiv preprint arXiv:2206.09947},
  year   = {2022}
}

Comments

14 pages, 8 figures