On the reflexivity of multigenerator algebras

Ptak Marek. On the reflexivity of multigenerator algebras. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1998. <http://eudml.org/doc/271245>.

@book{PtakMarek1998,
abstract = {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.....................................................................................................581991 Mathematics Subject Classification: Primary 47D27, 47A15; Secondary 15A30, 47D25, 47D15, 47B37, 47B35, 47B20.},
author = {Ptak Marek},
keywords = {reflexive operator algebra; invariant subspace; hyporeflexive operator; Toeplitz operator; Taylor spectrum; left spectrum; doubly commute; subdirect sum; dual algebra; quasinormal operators; spherical isometry; weighted shift; functional calculus; reflexive subspaces; (doubly) commuting tuples of operators on Hilbert spaces; reflexivity problem; spaces of Toeplitz operators; invariant subspace problem for commuting contractions; functional calculus},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {On the reflexivity of multigenerator algebras},
url = {http://eudml.org/doc/271245},
year = {1998},
}

TY - BOOK
AU - Ptak Marek
TI - On the reflexivity of multigenerator algebras
PY - 1998
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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.....................................................................................................581991 Mathematics Subject Classification: Primary 47D27, 47A15; Secondary 15A30, 47D25, 47D15, 47B37, 47B35, 47B20.
LA - eng
KW - reflexive operator algebra; invariant subspace; hyporeflexive operator; Toeplitz operator; Taylor spectrum; left spectrum; doubly commute; subdirect sum; dual algebra; quasinormal operators; spherical isometry; weighted shift; functional calculus; reflexive subspaces; (doubly) commuting tuples of operators on Hilbert spaces; reflexivity problem; spaces of Toeplitz operators; invariant subspace problem for commuting contractions; functional calculus
UR - http://eudml.org/doc/271245
ER -