Alternative axioms for statistical physical theories
AM-Compactness of some classes of operators
We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly compact, almost Dunford-Pettis, Dunford-Pettis) operator is AM-compact.
An abstract uniform boundedness result
An application of homological methods to locally convex groups
An application of the Hahn-Banach theorem in convex analysis
An application of the Nash-Moser theorem to ordinary differential equations in Fréchet spaces
A general existence and uniqueness result of Picard-Lindelöf type is proved for ordinary differential equations in Fréchet spaces as an application of a generalized Nash-Moser implicit function theorem. Many examples show that the assumptions of the main result are natural. Applications are given for the Fréchet spaces , , , , for Köthe sequence spaces, and for the general class of subbinomic Fréchet algebras.
An approach to generalizing Banach spaces: normed almost linear spaces
An approximation theorem related to good compact sets in the sense of Martineau
This note contains an approximation theorem that implies that every compact subset of is a good compact set in the sense of Martineau. The property in question is fundamental for the extension of analytic functionals. The approximation theorem depends on a finiteness result about certain polynomially convex hulls.
An attempt of characterization of functions with sharp weakly complete epigraphs.
An elementary proof of a theorem on sublattices of finite codimension
This paper presents an elementary proof and a generalization of a theorem due to Abramovich and Lipecki, concerning the nonexistence of closed linear sublattices of finite codimension in nonatomic locally solid linear lattices with the Lebesgue property.
An example of a continuum of pairwise non-isomorphic spaces of -functions
An Example of a Nuclear Fréchet Space Without the Bounded Approximation Property.
An example of J. W. Roberts of a convex compact subset in a linear metric space with no extreme points
An example of semilinear topologies.
An extension of a theorem of Rosenthal on operators acting from
An extension of a theorem of Sahab, Khan, and Sessa.
An extension of Amir-Lindenstrauss theorem.
An extension of Choquet boundary theory to certain partially ordered compact convex sets
An extension of the Krein-Smulian theorem.
Let X be a Banach space, u ∈ X** and K, Z two subsets of X**. Denote by d(u,Z) and d(K,Z) the distances to Z from the point u and from the subset K respectively. The Krein-Smulian Theorem asserts that the closed convex hull of a weakly compact subset of a Banach space is weakly compact; in other words, every w*-compact subset K ⊂ X** such that d(K,X) = 0 satisfies d(cow*(K),X) = 0.We extend this result in the following way: if Z ⊂ X is a closed subspace of X and K ⊂ X** is a w*-compact subset of...
An extension of Witzgall's result on convex metrics.