Characterizations of asymmetric truncated Toeplitz operators
Abstract
The aim of this paper is to investigate asymmetric truncated Toeplitz operators with L2 symbols between two different model spaces given by inner functions such that one divides the other. Characterizations of these operators are given in terms of rank two operators. A description of the class of symbols for which the corresponding asymmetric truncated Toeplitz operator is equal to the zero operator is also given.
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