The Krein-Smulian theorem that a closed generating cone in a Banach space is nonflattened and a theorem of Lozanovskii about the automatic continuity of linear positive operators are generalized to completely metrizable topological vector spaces. © 2011 Pleiades Publishing, Ltd
AbstractWe are concerned with establishing completeness and separability criteria for large classes ...
AbstractConsider the isometric property (P): the restriction to the unit ball of every bounded linea...
It is proved that a Banach space E is non-reflexive if and only if E has a closed cone with an unb...
The Krein-Smulian theorem that a closed generating cone in a Banach space is nonflattened and a theo...
We prove the following version of the Kreps-Yan theorem. For any norm-closed convex cone C ⊂ L ∞ suc...
For some pairs (X,A), where X is a metrizable topological space and A its closed subset, continuous,...
AbstractIt is shown that a compact K-metrizable space with a dense monotonically normal subspace is ...
Let F be an ordered topological vector space (over R) whose positive cone F+ is weakly closed, and l...
In this essay we give a sufficient background to, and prove, the classical Bing-Nagata-Smirnov metri...
We discuss Lomonosov's proof of the Pontryagin-Krein Theorem on invariant maximal non-positive subsp...
Abstract. In this paper we find invariant subspaces of certain positive quasinilpo-tent operators on...
Suppose T is a continuous linear operator between two Hilbert spaces X and Y and let K be a closed ...
Manoussos A. A Birkhoff type transitivity theorem for non-separable completely metrizable spaces wit...
AbstractWe present two ‘localisation’ techniques which facilitate verifications of the topological p...
Summary.We continue Mizar formalization of general topology according to the book [16] by Engelking....
AbstractWe are concerned with establishing completeness and separability criteria for large classes ...
AbstractConsider the isometric property (P): the restriction to the unit ball of every bounded linea...
It is proved that a Banach space E is non-reflexive if and only if E has a closed cone with an unb...
The Krein-Smulian theorem that a closed generating cone in a Banach space is nonflattened and a theo...
We prove the following version of the Kreps-Yan theorem. For any norm-closed convex cone C ⊂ L ∞ suc...
For some pairs (X,A), where X is a metrizable topological space and A its closed subset, continuous,...
AbstractIt is shown that a compact K-metrizable space with a dense monotonically normal subspace is ...
Let F be an ordered topological vector space (over R) whose positive cone F+ is weakly closed, and l...
In this essay we give a sufficient background to, and prove, the classical Bing-Nagata-Smirnov metri...
We discuss Lomonosov's proof of the Pontryagin-Krein Theorem on invariant maximal non-positive subsp...
Abstract. In this paper we find invariant subspaces of certain positive quasinilpo-tent operators on...
Suppose T is a continuous linear operator between two Hilbert spaces X and Y and let K be a closed ...
Manoussos A. A Birkhoff type transitivity theorem for non-separable completely metrizable spaces wit...
AbstractWe present two ‘localisation’ techniques which facilitate verifications of the topological p...
Summary.We continue Mizar formalization of general topology according to the book [16] by Engelking....
AbstractWe are concerned with establishing completeness and separability criteria for large classes ...
AbstractConsider the isometric property (P): the restriction to the unit ball of every bounded linea...
It is proved that a Banach space E is non-reflexive if and only if E has a closed cone with an unb...