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arXiv:1711.06042 [math.FA]AbstractReferencesReviewsResources

Norms of truncated Toeplitz operators and numerical radii of restricted shifts

Pamela Gorkin, Jonathan R. Partington

Published 2017-11-16Version 1

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.

Comments: 24 pages
Categories: math.FA, math.CV
Subjects: 47B35, 47A12, 30H10
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