P-Operators on Hilbert Spaces
Functional Analysis
2022-05-06 v1
Abstract
A real square matrix is called a P-matrix if all its principal minors are positive. Using the sign non-reversal property of matrices, the notion of P-matrix has been recently extended by Kannan and Sivakumar to infinite-dimensional Banach spaces relative to a given Schauder basis. Motivated by their work, we discuss P-operators on separable real Hilbert spaces. We also investigate P-operators relative to various orthonormal bases.
Cite
@article{arxiv.2205.02740,
title = {P-Operators on Hilbert Spaces},
author = {Rashid A. and P. Sam Johnson},
journal= {arXiv preprint arXiv:2205.02740},
year = {2022}
}
Comments
6 pages