Hyperinvariant subspaces for some operators on locally convex spaces.
Some results concerning triangularization of some operators on locally convex spaces are established.
Denote by the commutator of two bounded operators and acting on a locally convex topological vector space. If , we show that is a quasinilpotent operator and we prove that if is a compact operator, then is a Riesz operator.
The spatial numerical range for a class of operators on locally convex space was studied by Giles, Joseph, Koehler and Sims in [3]. The purpose of this paper is to consider some additional properties of the numerical range on locally convex and especially on -locally convex spaces.
The invariant subspace problem for some operators and some operator algebras acting on a locally convex space is studied.
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