382 research outputs found
Toeplitz operators on Bergman spaces of polyanalytic functions
We study algebraic properties of Toeplitz operators on Bergman spaces of
polyanalytic functions on the unit disk. We obtain results on finite-rank
commutators and semi-commutators of Toeplitz operators with harmonic symbols.
We also raise and discuss some open questions.Comment: 15 page
Commutant Lifting for Commuting Row Contractions
If is a row contraction with commuting entries,
and the Arveson dilation is ,
then any operator commuting with each dilates to an operator of
the same norm which commutes with each .Comment: one section and references were adde
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