ArticleOriginal scientific text
Title
The algebra generated by a pair of operator weighted shifts
Authors 1
Affiliations
- Institute of Mathematics, University of Agriculture, Królewska 6, 30-045 Kraków, Poland
Abstract
We present a model for two doubly commuting operator weighted shifts. We also investigate general pairs of operator weighted shifts. The above model generalizes the model for two doubly commuting shifts. WOT-closed algebras for such pairs are described. We also deal with reflexivity for such pairs assuming invertibility of operator weights and a condition on the joint point spectrum.
Keywords
pairs of operator weighted shifts, reflexive algebras
Bibliography
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- A. L. Shields and L. J. Wallen, The commutant of certain Hilbert space operators, Indiana Univ. Math. J. 20 (1971), 777-788.
- M. Słociński, On the Wold-type decomposition of a pair of commuting isometries, Ann. Polon. Math. 37 (1980), 255-262.
Pages:
97-110
Main language of publication
English
Received
1992-04-13
Published
1995
Exact and natural sciences