Journal of Operator Theory
Volume 74, Issue 2, Fall 2015 pp. 249-280.
Parts of adjoint weighted shifts
Authors:
Anders Olofsson
Author institution: Mathematics, Faculty of Science, Centre for\break
Mathematical Sciences, Lund University,
P.O. Box 118, SE-221 00 Lund, Sweden
Summary: We characterize the parts of a vector-valued adjoint
shift operator using operator inequalities and a stability condition.
The characterization applies in a class of weighted shifts
containing the classical Hardy
shift operator as well as the full scale of standard weighted Bergman
shift operators on the unit disc. Related operator models form
an integral part in recent work on generalized mathematical systems theory
and Bergman inner functions.
DOI: http://dx.doi.org/10.7900/jot.2014jun06.2057
Keywords: operator model theory, weighted shift operator,
standard weighted Bergman space
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