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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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