A remark on a problem of Klee
A remark on compactness of embeddings
A remark on Edgar's extremal integral representation theorem
A remark on hereditary properties of linear topological spaces
A remark on (p, q)-absolutely summing operators in -spaces
A remark on p-integral and p-absolutely summing operators form into
A remark on regularly separated closed sets
A remark on Schwartz spaces consistent with a duality
A Remark on the Multidimensional Moment Problem.
A remark on the -reflexivity of Sova
A Representation of the Space ... .
A restricted form of the theorem of Maurey-Pisier for the cotype in -Banach spaces
A result of Haydon and its applications
A Result on Equicontinuous Sets of Operators on Nuclear Fréchet Spaces Related to the Bounded Approximation Property.
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 Riesz representation theorem for cone-valued functions.
A Riesz representation theory for completely regular Hausdorff spaces and its applications
Let X be a completely regular Hausdorff space, E and F be Banach spaces. Let Cb(X, E) be the space of all E-valued bounded, continuous functions on X, equipped with the strict topology β. We develop the Riemman-Stieltjes-type Integral representation theory of (β, || · ||F) -continuous operators T : Cb(X, E) → F with respect to the representing Borel operator measures. For X being a k-space, we characterize strongly bounded (β, || · ||F)-continuous operators T : Cb(X, E) → F. As an application, we...
A rigid space admitting compact operators
A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. The first complete rigid space was published in 1981 in [2]. Clearly a rigid space is a trivial-dual space, and admits no compact endomorphisms. In this paper a modification of the original construction results in a rigid space which is, however, the domain space of a compact operator, answering a question that was first raised soon after the existence of complete rigid spaces was...
A rigid topological vector space
A scalar field for which -zero has no Hahn-Banach property