Year: 2025
Type: article
Abstract: We study completely non-unitary contractions T with finite dimensional defect spaces DT and DT∗. We present a complete classification of all such contractions T that satisfy a generalized property of the Hardy shift operator: DT⊆DT∗. We show that T is analytic if and only if it has no non-zero eigenvalue. Furthermore, we characterize the hyponormality of all those T.
Source: Journal of Operator Theory
Author: Susmita Das
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Indian Institute of Science
OpenAlex ID: W4414580937
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