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Jörg Eschmeier
Universität des Saarlandes
Toeplitz projections and essential commutants
Monday, March 4 3pm, 646 PGH
Abstract
A result of Ken Davidson from 1977, answering a question of Douglas, shows
that an operator on H2(T) commutes modulo the
compact operators with all analytic Toeplitz operators if and only if it
is a compact perturbation of a Toeplitz operator with symbol in
H∞+
C. In papers of Guo, Ding, and Sun from the late 1990s
analogues of this result are proved on the unit ball in B. We show
that for a large class of subnormal operator tuples there is a natural
Toeplitz projection and use this construction to extend the above results
to the case of essentially normal regular A-isometries. As a
particular case we calculate the essential commutant of the analytic
Toeplitz operators on a strictly pseudoconvex domain.
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Last modified: April 08 2016 - 07:21:37