Invariant subspaces of operator algebras
Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 26 (1988), pp. 65-145
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The survey is devoted to a circle of problems, grouped around one of the oldest problems of functional analysis, namely the invariant subspace problem. It is shown that the investigation of the algebraic and analytic properties of families of operators touches upon the question of the structure of their invariant subspaces.
@article{INTM_1988_26_a1,
author = {A. I. Loginov and V. S. Shulman},
title = {Invariant subspaces of operator algebras},
journal = {Itogi nauki i tehniki. Seri\^a, Matemati\v{c}eskij analiz},
pages = {65--145},
year = {1988},
volume = {26},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTM_1988_26_a1/}
}
A. I. Loginov; V. S. Shulman. Invariant subspaces of operator algebras. Itogi nauki i tehniki. Seriâ, Matematičeskij analiz, Itogi Nauki i Tekhniki. Seriya "Matematicheskii Analiz", Tome 26 (1988), pp. 65-145. http://geodesic.mathdoc.fr/item/INTM_1988_26_a1/