Shift invariance and reflexivity of compressions of multiplication operators-Reference-Cited by-同舟云学术

Shift invariance and reflexivity of compressions of multiplication operators

Published:2022-05-31 Issue:0 Volume:0 Page:
ISSN:0933-7741
Container-title:Forum Mathematicum
language:en
Short-container-title:

Author:

Câmara M. Cristina¹^ORCID,Kliś-Garlicka Kamila²^ORCID,Łanucha Bartosz³^ORCID,Ptak Marek⁴^ORCID

Affiliation:

1. Center for Mathematical Analysis, Geometry and Dynamical Systems , Mathematics Department , Instituto Superior Técnico , Universidade de Lisboa , Av. Rovisco Pais, 1049-001 Lisboa , Portugal

2. Department of Applied Mathematics , University of Agriculture , ul. Balicka 253c, 30-19 8 Kraków , Poland

3. Institute of Mathematics , Maria Curie-Skłodowska University , pl. M. Curie-Skłodowskiej 1, 20-031 Lublin , Poland

4. Department of Applied Mathematics , University of Agriculture , ul. Balicka 253c, 30-198 Kraków , Poland

Abstract

Abstract The properties of being shift invariant and being reflexive or transitive in the case of the space of (asymmetric) truncated Toeplitz operators, and the space of (asymmetric) dual truncated operators are investigated. Most of the results obtained are new even for the symmetric case. A characterization of asymmetric dual truncated Toeplitz operators is also given.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2021-0129/pdf

Reference32 articles.

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