Triangularization of some families of operators on locally convex spaces
Some results concerning triangularization of some operators on locally convex spaces are established.
A note on the commutator of two operators on a locally convex space
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.
On the numerical range of operators on locally and on H-locally convex spaces
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.
Invariant subspaces for some operators on locally convex spaces
The invariant subspace problem for some operators and some operator algebras acting on a locally convex space is studied.
Hyperinvariant subspaces for some operators on locally convex spaces.
On reducibility of some operator semigroups and algebras on locally convex spaces.
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