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
A sequence space representation of the space of bounded ultradistributions of Beurling type.
Sequence space representations of the spaces DL1,(ω)(RN) and of its dual D'L1,(ω)(RN), the space of bounded ultradistributions of Beurling type, are presented, in case the weight ω is a strong weight.