A bipolar theorem for L
A density theorem for F-spaces
A finite dimensional reduction of the Schauder Conjecture
Schauder’s Conjecture (i.eėvery compact convex set in a Hausdorff topological vector space has the f.p.p.) is reduced to the search for fixed points of suitable multivalued maps in finite dimensional spaces.
A Lifting Result for Locally Pseudo-Convex Subspaces of L₀
It is shown that if F is a topological vector space containing a complete, locally pseudo-convex subspace E such that F/E = L₀ then E is complemented in F and so F = E⊕ L₀. This generalizes results by Kalton and Peck and Faber.
A note on a theorem of Klee
It is proved that if are separable quasi-Banach spaces, then contains a dense dual-separating subspace if either or has this property.
A note on the barrelledness in linear topological spaces
A remark on a Banach-Steinhaus theorem of Narang
A remark on a problem of Klee
A restricted form of the theorem of Maurey-Pisier for the cotype in -Banach spaces
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 stochastic version of Fan's best approximation theorem.
A uniform boundedness principle of Pták
The Antosik-Mikusinski Matrix Theorem is used to give an extension of a uniform boundedness principle due to V. Pták to certain metric linear spaces. An application to bilinear operators is given.
About the Banach envelope of l1,∞.
Algunos resultados sobre representabilidad finita de 1q (O < q ≤∞) en espacios p-Banach.
An example of J. W. Roberts of a convex compact subset in a linear metric space with no extreme points
Analytic functions in non-locally convex spaces and applications