Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 19, Tome 190 (1991), pp. 110-147
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V. V. Kapustin; A. V. Lipin. Operator algebras and invariant subspaces lattices. II. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 19, Tome 190 (1991), pp. 110-147. http://geodesic.mathdoc.fr/item/ZNSL_1991_190_a5/
@article{ZNSL_1991_190_a5,
author = {V. V. Kapustin and A. V. Lipin},
title = {Operator algebras and invariant subspaces {lattices.~II}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {110--147},
year = {1991},
volume = {190},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_190_a5/}
}
TY - JOUR
AU - V. V. Kapustin
AU - A. V. Lipin
TI - Operator algebras and invariant subspaces lattices. II
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1991
SP - 110
EP - 147
VL - 190
UR - http://geodesic.mathdoc.fr/item/ZNSL_1991_190_a5/
LA - ru
ID - ZNSL_1991_190_a5
ER -
%0 Journal Article
%A V. V. Kapustin
%A A. V. Lipin
%T Operator algebras and invariant subspaces lattices. II
%J Zapiski Nauchnykh Seminarov POMI
%D 1991
%P 110-147
%V 190
%U http://geodesic.mathdoc.fr/item/ZNSL_1991_190_a5/
%G ru
%F ZNSL_1991_190_a5
Given a bounded linear operator $T$, we study the following questions: when the сommutant $\{T\}'$ is commutative; when each operator in the bicommutant $\{T\}''$ can be approximated by polynomials of $T$ in the weak operator topology, the problem of reflexivity, and others. These questions are solved for some classes of operators.
