Invariant subspaces for derivations

Author:

Kissin E. V.

Abstract

In this article it is proved that most of the known sufficient conditions for a subspace from Lat A \mathcal {A} to be hyperinvariant are in fact also sufficient for this subspace to be invariant for all operators from Ad A \mathcal {A} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. On a topology for invariant subspaces;Douglas, R. G.;J. Functional Analysis,1968

2. Hyperinvariant subspaces via topological properties of lattices;Douglas, R. G.;Michigan Math. J.,1973

3. Van Nostrand Reinhold Mathematical Studies, No. 30;Fillmore, Peter A.,1970

4. On some reflexive algebras of operators and the operator Lie algebras of their derivations;Kissin, E. V.;Proc. London Math. Soc. (3),1984

5. On some reflexive operator algebras constructed from two sets of closed operators and from a set of reflexive operator algebras;Kissin, E. V.;Pacific J. Math.,1987

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