Some properties of unbounded truncated Toeplitz operators
Ali Chettih, Ameur Yagoub, Zohra Bendaoud
TL;DR
This paper investigates unbounded truncated Toeplitz operators on model spaces, focusing on their commutation with modified compressed shifts and properties like invertibility and self-adjointness.
Contribution
It provides new insights into the properties of unbounded truncated Toeplitz operators, including their invertibility and self-adjointness, on model spaces.
Findings
Operators commute with modified compressed shifts.
Properties related to invertibility are established.
Self-adjointness conditions are analyzed.
Abstract
In this paper, we study closed densely defined unbounded truncated Toeplitz operators on model space, where u is an inner function, that commute with modified compressed shifts. The work also establishes properties related to their invertibility and self-adjointness.
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