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- W134103481 abstract "We discuss the application of antilinear symmetries (conjugation operators) to problems connected to the compressed shift on the spaces H φH where φ denotes a nonconstant inner function. For example, we discuss an explicit parameterization of the noncyclic functions for the backward shift operator and show that compressed shifts and their associated Clark operators [10] belong to the class of complex symmetric operators [23, 24]. Furthermore, we show that the partial isometry in the polar decomposition of an (invertible) compressed shift is a certain Clark unitary operator. Moreover, we are able to compute certain preferred orthonormal bases for the spaces H φH (where φ denotes a nonconstant inner function) that respect the underlying symmetry. This is a self-contained exposition of several results of the author and others contained in the papers [19, 21, 23, 24, 25]." @default.
- W134103481 created "2016-06-24" @default.
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- W134103481 date "2006-01-01" @default.
- W134103481 modified "2023-10-14" @default.
- W134103481 title "Conjugation and Clark operators" @default.
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- W134103481 doi "https://doi.org/10.1090/conm/393/07372" @default.
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