CONTENTS1. Introduction...................................................................................................52. N-tuples of linear transformations in finite-dimensional space......................83. Toeplitz operators on the polydisc and the unit ball....................................184. Subspaces of weighted shifts.....................................................................235. Joint spectra for N-tuples of operators........................................................276. Algebras of operator weighted shifts...........................................................307. Functional calculus for N-tuples of contractions..........................................378. Dual algebras, invariant subspace problem and reflexivity..........................449. Reflexivity of jointly quasinormal operators and spherical isometries..........4510. Reflexivity and existence of invariant subspaces......................................4711. Questions and open problems..................................................................56References.....................................................................................................58
1991 Mathematics Subject Classification: Primary 47D27, 47A15; Secondary 15A30, 47D25, 47D15, 47B37, 47B35, 47B20.
@book{bwmeta1.element.zamlynska-e27e4865-dcb4-48f2-8044-64df668f76a3,
author = {Ptak Marek},
title = {On the reflexivity of multigenerator algebras},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1998},
zbl = {1090.47507},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-e27e4865-dcb4-48f2-8044-64df668f76a3}
}
Ptak Marek. On the reflexivity of multigenerator algebras. GDML_Books (1998), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-e27e4865-dcb4-48f2-8044-64df668f76a3/