Abstract
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.
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Translated from Itogi Nauki i Tekhniki, Seriya Matematicheskii Analiz, Vol. 26, pp. 65–145, 1988.
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Loginov, A.I., Shul'man, V.S. Invariant subspaces of operator algebras. J Math Sci 54, 1177–1236 (1991). https://doi.org/10.1007/BF01322067
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DOI: https://doi.org/10.1007/BF01322067