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arXiv · 1809.04194

Inner vectors for Toeplitz operators

Raymond Cheng·Javad Mashreghi·William T. Ross
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Abstract

In this paper we survey and bring together several approaches to obtaining inner functions for Toeplitz operators. These approaches include the classical definition, the Wold decomposition, the operator-valued Poisson Integral, and Clark measures. We then extend these notions somewhat to inner functions on model spaces. Along the way we present some novel examples.

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Raymond Cheng, Javad Mashreghi, William T. Ross. 2018-09-11. Inner vectors for Toeplitz operators. https://arxiv.org/abs/1809.04194

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