Biisometric operators and biorthogonal sequences
Functional Analysis
2021-02-12 v3
Abstract
It is shown that a pair of Hilbert space operators V and W such that V*W=I (called a biisometric pair) shares some common properties with unilateral shifts when orthonormal basis are replaced with biorthogonal sequences, and it is also shown how such a pair of biisometric operators yields a pair of biorthogonal sequences which are shifted by them. These are applied to a class of Laguerre operators on L2.
Cite
@article{arxiv.1906.10271,
title = {Biisometric operators and biorthogonal sequences},
author = {Carlos S. Kubrusly and Nhan Levan},
journal= {arXiv preprint arXiv:1906.10271},
year = {2021}
}
Comments
10 pages