m-isometric operators and their local properties
Functional Analysis
2019-06-13 v1
Abstract
In this paper we give necessary and sufficient conditions for a bounded linear Hilbert space operator to be an -isometry for an unspecified written in terms of conditions that are applied to "one vector at a time". We provide criteria for orthogonality of generalized eigenvectors of an (a priori unbounded) linear operator on an inner product space that correspond to distinct eigenvalues of modulus 1. We also discuss a similar question of when Jordan blocks of corresponding to distinct eigenvalues of modulus 1 are "orthogonal".
Cite
@article{arxiv.1906.05215,
title = {m-isometric operators and their local properties},
author = {Z. J. Jablonski and I. B. Jung and J. Stochel},
journal= {arXiv preprint arXiv:1906.05215},
year = {2019}
}
Comments
19 pages