&qu=
ot;Refl=
exivity,
Hyperreflexivity, and Transitivity for Toeplitz Operators"
by
Marek Ptak<=
/span>
(University of
Agriculture, Krakow, Poland)
Abstract: The recent reflexivi=
ty,
transitivity and hyperreflexivity results for subspaces and algebras =
of
Toeplitz operators will be presented. We start with the classical result ab=
out
reflexivity and hyperreflexivity of analytic Toeplitz operators=
on
the Hardy space on the unit disc. The space of all Toeplitz operators is
transitive but 2–reflexive. We will study the dichotomic behavi=
or
of subspaces of Toeplitz operators on the Hardy space. A linear space of
Toeplitz operators which is closed in the ultraweak operator topology is ei=
ther
transitive or reflexive. No intermediate behavior is possible. This
result can be extended to the Toeplitz operators on the Hardy space on the
upper half–plane. The Toeplitz operators on the Bergman space will be
also considered. The generalized Toeplitz and the multivariable Toeplitz
operators case will be also considered.
Tea and cookies will be served after =
the
seminar.
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nbsp;
Date:
Thursday, May 03, 2012
Time: 14.00 – 15:00
Place: Mathematics Seminar R=
oom,
SA-141
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