English

Matrices with Hyperbolical Krein Space Numerical Range

Functional Analysis 2024-07-08 v2

Abstract

This paper is devoted to matrices with hyperbolical Krein space numerical range. This shape characterizes the 2-by-2 case and persists for certain classes of matrices, independently of their size. Ne\-cessary and sufficient conditions for low dimensional tridiagonal matrices to have this shape are obtained only involving the matrix entries

Keywords

Cite

@article{arxiv.2407.03164,
  title  = {Matrices with Hyperbolical Krein Space Numerical Range},
  author = {N. Bebiano and R. Lemos and G. Soares},
  journal= {arXiv preprint arXiv:2407.03164},
  year   = {2024}
}
R2 v1 2026-06-28T17:28:01.503Z