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Truncated Toeplitz operators
by
William T. Ross
University of Richmond
Coauthors: Joseph A. Cima and Warren R. Wogen
In this talk we explore truncated Toeplitz operators Af f : = Pq (ff), on the spaces H2 \ominus qH2, where q is an inner function, f ∈ L∞, and Pq is the orthogonal projection of L2 onto H2 \ominus qH2 (a typical invariant subspace for the backward shift operator). In particular, we focus on the question, first explored by Sarason, when is a bounded linear operator on H2 \ominus qH2 a truncated Toeplitz operator?
Date received: December 19, 2007
Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-07.