[Settfa] Tuesday 29/10, Daniel Seco
kubis at math.cas.cz
kubis at math.cas.cz
Sat Oct 26 14:00:03 CEST 2019
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Tuesday 29th October, 10:00am
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Speaker:Daniel Seco, Instituto de Ciencias Matemáticas (ICMAT), Madrid, Spain
Title: Failure of the Wandering Subspace Property for $z^k$
Abstract
The Wandering Subspace Property is a celebrated property of some
analytic function spaces for the operator of multiplication by the
complex variable $z$. Here we study operators of multiplication by
$z^k$ in Dirichlet-type spaces $D_\alpha$. We establish the
existence of $k$ and $\alpha$ for which some $z^k$-invariant subspaces of
$D_\alpha$ do not satisfy the wandering subspace property. We will
then discuss some consequences.
For more information see the seminar web page at
https://calendar.math.cas.cz/set-theory-and-analysis-actual .
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