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arXiv · 1711.06042

Norms of truncated Toeplitz operators and numerical radii of restricted shifts

Pamela Gorkin·Jonathan R. Partington
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Abstract

This paper gives a new approach to the calculation of the numerical radius of a restricted shift operator by linking it to the norm of a truncated Toeplitz operator (TTO), which can be be calculated by various methods. Further results on the norm of a TTO are derived, and a conjecture on the existence of continuous symbols for compact TTO is resolved.

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BibTeXRIS

Pamela Gorkin, Jonathan R. Partington. 2019-05-16. Norms of truncated Toeplitz operators and numerical radii of restricted shifts. https://arxiv.org/abs/1711.06042

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