Characterizations of Matrix Valued Asymmetric Truncated Toeplitz Operators
Rewayat Khan, Yagoub Ameur, and Jamroz Khan
TL;DR
This paper characterizes matrix-valued asymmetric truncated Toeplitz operators using compressed shifts, modified shifts, and shift invariance, providing a comprehensive understanding of their structure in operator theory.
Contribution
It introduces a novel characterization of matrix-valued asymmetric truncated Toeplitz operators through the use of compressed and modified shifts, expanding the theoretical framework.
Findings
Characterization of matrix-valued asymmetric truncated Toeplitz operators
Use of compressed and modified shifts in the analysis
Establishment of shift invariance properties
Abstract
We characterize matrix-valued asymmetric truncated Toeplitz operators (which are compressions of multiplication operators acting between two possibly different model spaces) by using compressed shifts, modified compressed shifts and shift invariance.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Advanced Topics in Algebra