Inner vectors for Toeplitz operators

Authors

Raymond Cheng
Javad Mashreghi
William T. Ross, University of RichmondFollow

DOI

10.48550/arXiv.1809.04194

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.

Document Type

Article

Publication Date

9-11-2018

Publisher Statement

Copyright © 2018, arXiv.

DOI: 10.48550/arXiv.1809.04194

The definitive version is available at: https://arxiv.org/abs/1809.04194

Recommended Citation

Cheng, Raymond, Mashreghi, Javad, and Ross, William T., "Model Spaces and Vector-Valued Nearly Invariant Subspaces." arXiv(September, 2018): 1-23. doi: 10.48550/arXiv.1809.04194