Isabelle Chalendar
Embedding Theorems for M\"untz spaces.
Tue, 01/19/2010 - 16:01 — SomNambulAuthors: Isabelle Chalendar, Emmanuel Fricain, Dan Timotin
Subjects: Functional Analysis
AbstractWe discuss boundedness and compactness properties of the embedding
$M_\Lambda^1\subset L^1(\mu)$, where $M_\Lambda^1$ is the closure of the
monomials $x^{\lambda_n}$ in $L1([0,1])$ and $\mu$ is a finite positive Borel
measure on the interval $[0,1]$. In particular, we introduce a class of
"sublinear" measures and provide a rather complete solution of the embedding
problem for the class of quasilacunary sequences $\Lambda$.Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators.
Wed, 09/02/2009 - 12:02 — SomNambulAuthors: A. Baranov, Isabelle Chalendar, Emmanuel Fricain, Javad Mashreghi, Dan Timotin
Subjects: Functional Analysis
AbstractCompressions of Toeplitz operators to coinvariant subspaces of $H^2$ are
called \emph{truncated Toeplitz operators}. We study two questions related to
these operators. The first, raised by Sarason, is whether boundedness of the
operator implies the existence of a bounded symbol; the second is the
reproducing kernel thesis. We show that in general the answer to the first
question is negative, and we exhibit some classes of spaces for which the
answers to both questions are positive.Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators.
Wed, 09/02/2009 - 12:02 — SomNambulAuthors: A. Baranov, Isabelle Chalendar, Emmanuel Fricain, Javad Mashreghi, Dan Timotin
Subjects: Functional Analysis
AbstractCompressions of Toeplitz operators to coinvariant subspaces of $H^2$ are
called \emph{truncated Toeplitz operators}. We study two questions related to
these operators. The first, raised by Sarason, is whether boundedness of the
operator implies the existence of a bounded symbol; the second is the
reproducing kernel thesis. We show that in general the answer to the first
question is negative, and we exhibit some classes of spaces for which the
answers to both questions are positive.
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