Numerical range with respect to a family of projections
Spectral Theory
2019-01-08 v2
Abstract
In this note we introduce the concept of the numerical range of a bounded linear operator with respect to a family of projections. We give a precise definition and elaborate on its connection to the classical numerical range as well as to generalisations such as the quadratic numerical range and block numerical range.
Keywords
Cite
@article{arxiv.1608.04218,
title = {Numerical range with respect to a family of projections},
author = {W. Dada and N. Erkurşun and J. Kerner},
journal= {arXiv preprint arXiv:1608.04218},
year = {2019}
}