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
Banach space techniques underpinning a theory for nearly additive mappings [Book]
Banach spaces, à la recherche du temps perdu.
What follows is the opening conference of the late night seminar at the III Conference on Banach Spaces held at Jarandilla de la Vera, Cáceres. Maybe the reader should not take everything what follows too seriously: after all, it was designed for a friendly seminar, late in the night, talking about things around a table shared by whisky, preprints and almonds. Maybe the reader should not completely discard it. Be as it may, it seems to me by now that everything arrives in the nick of time. A twisted...
Bayoumi Quasi-Differential is different from Fréchet-Differential
We prove that the Quasi Differential of Bayoumi of maps between locally bounded F-spaces may not be Fréchet-Differential and vice versa. So a new concept has been discovered with rich applications (see [1–6]). Our F-spaces here are not necessarily locally convex