A Note on Minkowski Functionals of a Topological Vector Space
A note on normability of locally convex spaces
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.
A note on the lifting of linear and locally convex topologies on a quotient space.
A Note on the Topology Associated with a Local Convex Space
A note on the topology associated with a locally convex space.
A Property of Locally Convex Baire Spaces.
A propos d'un probleme de Klee sur la seperation de plusieurs ensembles.
A remark on regularly separated closed sets
A Representation of the Space ... .
A revised closed graph theorem for quasi-Suslin spaces
Some results about the continuity of special linear maps between -spaces recently obtained by Drewnowski have motivated us to revise a closed graph theorem for quasi-Suslin spaces due to Valdivia. We extend Valdivia’s theorem by showing that a linear map with closed graph from a Baire tvs into a tvs admitting a relatively countably compact resolution is continuous. This also applies to extend a result of De Wilde and Sunyach. A topological space is said to have a (relatively countably) compact...
A short remark on Kolmogoroff normability theorem.
A Structure Theorem for Schwartz Spaces.
A study on some new types of Hardy-Hilbert's integral inequality.
A theorem of Borsuk-Ulam type for multifunctions
A Theorem On Fixed Points In Locally Convex Spaces
Additive selections of superadditive set-valued functions.
Adjoint bi-continuous semigroups and semigroups on the space of measures
For a given bi-continuous semigroup on a Banach space we define its adjoint on an appropriate closed subspace of the norm dual . Under some abstract conditions this adjoint semigroup is again bi-continuous with respect to the weak topology . We give the following application: For a Polish space we consider operator semigroups on the space of bounded, continuous functions (endowed with the compact-open topology) and on the space of bounded Baire measures (endowed with the weak-topology)....
Almost approximately convex functions
An extension of a theorem of Sahab, Khan, and Sessa.