Intertwining relations and extended eigenvalues for analytic Toeplitz operators
Functional Analysis
2009-03-31 v2 Complex Variables
Abstract
We study the intertwining relations between analytic Toeplitz operators induced on the Hardy space H^2 by analytic functions bounded on the open unit disc. Our work centers on the connection between intertwining between the Toeplitz operators the image containment between their symbols, as well as on the nature of the intertwining operator. We use our results to study the "extended eigenvalues" of analytic Toeplitz operators, i.e., the special case where the operator is intertwined with a scalar multiple of itself.
Cite
@article{arxiv.0801.1972,
title = {Intertwining relations and extended eigenvalues for analytic Toeplitz operators},
author = {Paul S. Bourdon and Joel H. Shapiro},
journal= {arXiv preprint arXiv:0801.1972},
year = {2009}
}
Comments
23 pages, one figure, pdfLaTex format