Compact sets in
Compact Subsets of Partially Ordered Banach Spaces.
Compactly Determined Locally Convex Topologies.
Compactness and countable compactness in weak topologies
A bounded closed convex set K in a Banach space X is said to have quasi-normal structure if each bounded closed convex subset H of K for which diam(H) > 0 contains a point u for which ∥u-x∥ < diam(H) for each x ∈ H. It is shown that if the convex sets on the unit sphere in X satisfy this condition (which is much weaker than the assumption that convex sets on the unit sphere are separable), then relative to various weak topologies, the unit ball in X is compact whenever it is countably compact....
Compactness and extreme points of the set of quasi-measure extensions of a quasi-measure [Book]
Compactness in certain abstract function spaces with application to differential inclusions
In this note we present a result on compactness in certain Banach spaces of vector valued functions. We demonstrate an application of this result to the questions of existence of solutions of nonlinear differential inclusions on a Banach space.
Compactness in the First Baire Class and Baire-1 Operators
For a polish space M and a Banach space E let B1 (M, E) be the space of first Baire class functions from M to E, endowed with the pointwise weak topology. We study the compact subsets of B1 (M, E) and show that the fundamental results proved by Rosenthal, Bourgain, Fremlin, Talagrand and Godefroy, in case E = R, also hold true in the general case. For instance: a subset of B1 (M, E) is compact iff it is sequentially (resp. countably) compact, the convex hull of a compact bounded subset of B1 (M,...
Compactness properties of vector-valued integration maps in locally convex spaces
Compactoid sets in p-adic locally convex spaces
Compacts de fonctions de première classe
Comparaison des cônes profilés et des cônes presque bien coiffés
Compatible topologies and bornologies on modules
Compatible topologies and bornologies on modules are introduced and studied.
Complementation in spaces of symmetric tensor products and polynomials
For a locally convex space E we prove that the space of n-symmetric tensors is complemented in the space of (n+1)-symmetric tensors endowed with the projective topology. Applications and related results are also given.
Complementation in spaces of symmetric tensor products and polynomials.
Our aim here is to announce some properties of complementation for spaces of symmetric tensor products and homogeneous continuous polynomials on a locally convex space E that have, in particular, consequences in the study of the property (BB)n,s recently introduced by Dineen [8].
Complemented Infinite Type Power Series Subspaces of Nuclear Fréchet Spaces.
Complemented subspaces in tame power series spaces
Complemented subspaces of sums and products of copies of L1[0, 1].
We prove that the direct sum and the product of countably many copies of L1[0, 1] are primary locally convex spaces. We also give some related results.
Complemented subspaces with a strong finite-dimensional decomposition of nuclear Köthe spaces have a basis
The following result is proved: Let E be a complemented subspace with an r-finite-dimensional decomposition of a nuclear Köthe space λ(A). Then E has a basis.
Complete Positivity of Mapping Valued Linear Maps.
Complete Spaces of Vector-Valued Holomorphic Germs.