Compressions of Multiplication Operators and Their Characterizations-Reference-Cited by-同舟云学术

Compressions of Multiplication Operators and Their Characterizations

Published:2020-10-01 Issue:4 Volume:75 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Câmara M. Cristina,Kliś–Garlicka Kamila,Łanucha Bartosz^ORCID,Ptak Marek^ORCID

Abstract

AbstractDual truncated Toeplitz operators and other restrictions of the multiplication by the independent variable

$$M_z$$

M z on the classical

$$L^2$$

L 2 space on the unit circle are investigated. Commutators are calculated and commutativity is characterized. A necessary and sufficient condition for any operator to be a dual truncated Toeplitz operator is established. A formula for recovering its symbol is stated.

Funder

FCT/Portugal

Ministry of Science and Higher Education of the Republic of Poland

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00025-020-01283-4.pdf

Reference23 articles.

1. Baranov, A., Chalendar, I., Fricain, E., Mashreghi, J.E., Timotin, D.: Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators. J. Funct. Anal. 259, 2673–2701 (2010)

2. Bendaoud, Z., Saouli, N.: On the product of dilation of truncated Toeplitz operators. Turk. J. Math. 44, 142–151 (2020)