Halmos problems and related results in the theory of invariant subspaces

V. I. Lomonosov   ; V. S. Shulman

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 73 (2018) no. 1, pp. 31-90

Résumé

This paper contains a survey of main results in the theory of invariant subspaces that have a direct or intermediate connection with the well-known list of problems in operator theory posed by Halmos in 1970. For most results we present brief proofs, schemes of proofs, or basic ideas of proofs. Bibliography: 124 titles.

Détail

Keywords: Banach space, linear operator, operator algebra, invariant subspace.

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