Characterizations of a Complex Symmetric Truncated Backward Shift Type Operator Matrix and its Transforms

Chafiq Benhida, Muneo Chō, Eungil Ko, Ji Eun Lee

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study characterizations of a complex symmetric truncated shift type operator matrix and the Aluthge transform, the Duggal transform, the mean transform, and the generalized mean transform of such an operator matrix T (see (2.1) or (2.2)). As some applications of our main results, we give several examples of truncated shift type operator matrices.

Original languageEnglish
Article number13
JournalResults in Mathematics
Volume78
Issue number1
DOIs
StatePublished - Feb 2023

Bibliographical note

Funding Information:
These authors contributed equally to this work. The first named author was partially supported by Labex CEMPI (ANR-11-LABX-0007-01). The second author is partially supported by Grant-in-Aid Scientific Research No. 15K04910. The third author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2019R1F1A1058633). The fourth author was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (MSIT) (No. 2022R1H1A2091052).

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

  • (generalized)
  • Aluthge transform
  • Duggal transform
  • complex symmetric operator matrix

Fingerprint

Dive into the research topics of 'Characterizations of a Complex Symmetric Truncated Backward Shift Type Operator Matrix and its Transforms'. Together they form a unique fingerprint.

Cite this