This article is cited in 1 scientific paper (total in 1 paper)
On question about invariant subspaces of locally convex spaces
O. D. Solomatin
Orel State University
Subspaces of complete locally convex space $H$, invariant to linear continuous operator of finite order and type, are investigated. Subspaces, invariant to generalized displacement that is generated by this operator, are also researched. In particular, it is proved that in every subspace, invariant in respect to this operator, and admitting spectrum synthesis, there is a vector, generating this subspace. It is proved too, that every subspace, invariant in respect to generalization displacement, is invariant in respect to the operator, which generates this displacement and vice versa.
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O. D. Solomatin, “On question about invariant subspaces of locally convex spaces”, Fundam. Prikl. Mat., 3:3 (1997), 937–946
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\paper On question about invariant subspaces of locally convex spaces
\jour Fundam. Prikl. Mat.
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S. N. Mishin, “Invariance of the Order and Type of a Sequence of Operators”, Math. Notes, 100:3 (2016), 429–437
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