Abstract. We give some sufficient conditions under which the linear span of positive compact (resp. Dunford-Pettis, weakly compact, AM-compact) operators cannot be a vector lattice without being a sublattice of the order complete vector lattice of all regular operators. Also, some interesting consequences are obtained. 1. Introduction an
If X and Y are Banach lattices then there are several spaces of linear operators between them that m...
summary:The paper contains some applications of the notion of $Ł$ sets to several classes of operato...
A linear operator T between two lattice-normed spaces is said to be p-compact if, for any p-bounded ...
summary:We establish necessary and sufficient conditions under which the linear span of positive AM-...
AbstractLet E and F be Banach lattices. Let G be a vector sublattice of E and T:G→F be an order cont...
AbstractWe give several characterizations of Banach lattices on which each positive Dunford–Pettis o...
summary:We establish some sufficient conditions under which the subspaces of Dunford-Pettis operator...
AbstractThere are, by now, many results which guarantee that positive operators on Banach lattices h...
We investigate the sufficient condition under which each positive b-weakly compact operator is Dunfo...
summary:We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly c...
We give conditions for the linear span of the positive L-weakly compact (resp. M-weakly compact) ope...
AbstractWe characterize Banach lattices for which each positive Dunford–Pettis operator is M-weakly ...
We establish the domination property and some lattice approximation properties for almost L-weakly a...
Abstract. Let E and F be vector lattices and Lr(E, F) the ordered space of all regular operators, wh...
AbstractExtension properties of compact positive operators on Banach lattices are investigated. The ...
If X and Y are Banach lattices then there are several spaces of linear operators between them that m...
summary:The paper contains some applications of the notion of $Ł$ sets to several classes of operato...
A linear operator T between two lattice-normed spaces is said to be p-compact if, for any p-bounded ...
summary:We establish necessary and sufficient conditions under which the linear span of positive AM-...
AbstractLet E and F be Banach lattices. Let G be a vector sublattice of E and T:G→F be an order cont...
AbstractWe give several characterizations of Banach lattices on which each positive Dunford–Pettis o...
summary:We establish some sufficient conditions under which the subspaces of Dunford-Pettis operator...
AbstractThere are, by now, many results which guarantee that positive operators on Banach lattices h...
We investigate the sufficient condition under which each positive b-weakly compact operator is Dunfo...
summary:We characterize Banach lattices on which each regular order weakly compact (resp. b-weakly c...
We give conditions for the linear span of the positive L-weakly compact (resp. M-weakly compact) ope...
AbstractWe characterize Banach lattices for which each positive Dunford–Pettis operator is M-weakly ...
We establish the domination property and some lattice approximation properties for almost L-weakly a...
Abstract. Let E and F be vector lattices and Lr(E, F) the ordered space of all regular operators, wh...
AbstractExtension properties of compact positive operators on Banach lattices are investigated. The ...
If X and Y are Banach lattices then there are several spaces of linear operators between them that m...
summary:The paper contains some applications of the notion of $Ł$ sets to several classes of operato...
A linear operator T between two lattice-normed spaces is said to be p-compact if, for any p-bounded ...