Publication: On unilateral weighted shifts in noncommutative operator theory
Loading...
Date
Authors
Advisor
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier BV
Type
Abstract
The author studies the \(n\)-tuple \(M_z\) of multiplication operators by the complex variables \(z_1,\dots,z_n\) on the closure of polynomials in \(\mathbb C^n\) with respect to a rotationally symmetric, positive measure supported by the unit ball. The interplay between a weighted shift representation of these operators and the functional model leads to a characterization of the operator algebra generated by \(M_z\). In the background of the proof lie a multivariate moment problem and von Neumann type inequalities.
Description
Subject
Unilateral weighted shifts, Other nonselfadjoint operator algebras, Several-variable operator theory (spectral, Fredholm, etc.), Hardy space, Functional Hilbert spaces, ball algebra, Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.), Ball algebra, weighted shift, Operator algebras, Geometry and Topology, Topological algebras of operators, rotationally symmetric measure