On Some Fixed Point Principles for Cones in Linear Normed Spaces.
On some isomorphism on the category of -spaces.
On some parameters associated with normed lattices and on series characterization of M-spaces
On the Banach principle.
On the class of positive almost weak Dunford-Pettis operators
In this paper, we introduce and study the class of almost weak Dunford-Pettis operators. As consequences, we derive the following interesting results: the domination property of this class of operators and characterizations of the wDP property. Next, we characterize pairs of Banach lattices for which each positive almost weak Dunford-Pettis operator is almost Dunford-Pettis.
On the distributive radical of an Archimedean lattice-ordered group
Let be an Archimedean -group. We denote by and the divisible hull of and the distributive radical of , respectively. In the present note we prove the relation . As an application, we show that if is Archimedean, then it is completely distributive if and only if it can be regularly embedded into a completely distributive vector lattice.
On the equality between some classes of operators on Banach lattices
We establish some sufficient conditions under which the subspaces of Dunford-Pettis operators, of M-weakly compact operators, of L-weakly compact operators, of weakly compact operators, of semi-compact operators and of compact operators coincide and we give some consequences.
On the expected value of vector lattice-valued random variables
On the extension of measures
On the extension of positive linear functionals.
On the extension of positive operators
On the Integral Representation in Convex Noncompact Sets of Tight Measures.
On the order-topological properties of the quotient space
On the o-Spectrum of Order Bounded Operators.
On the Representation of Banach Lattices by Continuous Numerical Functions.
On the representation of Orlicz lattices
On the Schröder-Bernstein problem for Carathéodory vector lattices
In this note we prove that there exists a Carathéodory vector lattice such that and . This yields that is a solution of the Schröder-Bernstein problem for Carathéodory vector lattices. We also show that no Carathéodory Banach lattice is a solution of the Schröder-Bernstein problem.
On the sequential order continuity of the -space.
On the support of midconvex operators.
On the support of midconvex operators. (Summary).