A generalized mixed topology on Orlicz spaces.
A Geometrical Characterization of Choquet Simplexes.
A Grothendieck Representation for the Completion of Cones of Continuous Seminorms.
A Hahn-Banach Theorem for Holomorphic Mappings on Locally Convex Spaces.
A Hahn-Banach theorem for separation of semigroups and its application.
A Hahn-Banach Theorem in Conjugate Banach Spaces.
A Hahn-Banach type generalization of the Hyers-Ulam theorem.
A hereditary property in locally convex spaces
If is an infrabarrelled space, it is proved that any subspace , of finite codimension, is infrabarrelled.
A "hidden" characterization of approximatively polyhedral convex sets in Banach spaces
A closed convex subset C of a Banach space X is called approximatively polyhedral if for each ε > 0 there is a polyhedral (= intersection of finitely many closed half-spaces) convex set P ⊂ X at Hausdorff distance < ε from C. We characterize approximatively polyhedral convex sets in Banach spaces and apply the characterization to show that a connected component of the space of closed convex subsets of X endowed with the Hausdorff metric is separable if and only if contains a polyhedral convex...
A "hidden" characterization of polyhedral convex sets
We prove that a closed convex subset C of a complete linear metric space X is polyhedral in its closed linear hull if and only if no infinite subset A ⊂ X∖ C can be hidden behind C in the sense that [x,y]∩ C ≠ ∅ for any distinct x,y ∈ A.
A Lagrange multiplier theorem and a sandwich theorem for convex relations.
A Large Bi-Invariant Nuclear Function Space on a Locally Compact Group.
A Leray--Schauder alternative for weakly-strongly sequentially continuous weakly compact maps.
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 local factorization of analytic functions and its applications
A local metric characterization of Banach spaces
A modification of Newton's method
A modular convergence theorem for certain nonlinear integral operators with homogeneous kernel.
A multiplicative functional on the commutative topological field
A Natural Class of Sequential Banach Spaces
We introduce and study a natural class of variable exponent spaces, which generalizes the classical spaces and c₀. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of some geometric properties. Some geometric examples are constructed by using these spaces.