Work

Biisometric operators and biorthogonal sequences

Year: 2019

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1906.10271

Authors: Kubrusly, Carlos S., Levan, Nhan

Institutions: Universidade Federal do Rio de Janeiro, University of California, Los Angeles

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2954373837

Cites: 6

Cited by: 1

Related to: 20