The algebra generated by a pair of operator weighted shifts
Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 97-110
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
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
Affiliations des auteurs :
Marek Ptak 1
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author = {Marek Ptak},
title = {The algebra generated by a pair of operator weighted shifts},
journal = {Annales Polonici Mathematici},
pages = {97--110},
year = {1995},
volume = {62},
number = {2},
doi = {10.4064/ap-62-2-97-110},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-62-2-97-110/}
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TY - JOUR AU - Marek Ptak TI - The algebra generated by a pair of operator weighted shifts JO - Annales Polonici Mathematici PY - 1995 SP - 97 EP - 110 VL - 62 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-62-2-97-110/ DO - 10.4064/ap-62-2-97-110 LA - en ID - 10_4064_ap_62_2_97_110 ER -
Marek Ptak. The algebra generated by a pair of operator weighted shifts. Annales Polonici Mathematici, Tome 62 (1995) no. 2, pp. 97-110. doi: 10.4064/ap-62-2-97-110
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