AbstractLet E, F be two Banach lattices with E order continuous. If F can be mapped positively onto E then the dual F* contains a weak* -null sequence of positive and norm-one elements (Theorem 1). This is a Banach-lattice version of the classical Josefson-Nissenzweig theorem. It is an immediate consequence of the dual characterization of order continuity: E is order continuous iff E is Dedekind complete and every norm-one and pairwise disjoint sequence in E* is weak*-null (Theorem 2)
summary:We introduce the notion of order weakly sequentially continuous lattice operations of a Bana...
We investigate Banach lattices on which each positive almost Dunford-Pettis operator is almost limit...
AbstractLet T: E→F be a positive operator between two Riesz spaces with F Dedekind complete. The mai...
AbstractLet E, F be two Banach lattices with E order continuous. If F can be mapped positively onto ...
Abstract. We present an up-to-date account of the state of knowl-edge of the order structure of the ...
AbstractLet E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...
summary:It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order con...
AbstractWe give several characterizations of Banach lattices on which each positive Dunford–Pettis o...
summary:It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order con...
summary:It is known that a Banach lattice with order continuous norm contains a copy of $\ell_1$ if ...
summary:The paper contains some applications of the notion of $Ł$ sets to several classes of operato...
summary:It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order con...
summary:It is known that a Banach lattice with order continuous norm contains a copy of $\ell_1$ if ...
summary:It is known that a Banach lattice with order continuous norm contains a copy of $\ell_1$ if ...
summary:We establish some properties of the class of order weakly compact operators on Banach lattic...
summary:We introduce the notion of order weakly sequentially continuous lattice operations of a Bana...
We investigate Banach lattices on which each positive almost Dunford-Pettis operator is almost limit...
AbstractLet T: E→F be a positive operator between two Riesz spaces with F Dedekind complete. The mai...
AbstractLet E, F be two Banach lattices with E order continuous. If F can be mapped positively onto ...
Abstract. We present an up-to-date account of the state of knowl-edge of the order structure of the ...
AbstractLet E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...
summary:It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order con...
AbstractWe give several characterizations of Banach lattices on which each positive Dunford–Pettis o...
summary:It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order con...
summary:It is known that a Banach lattice with order continuous norm contains a copy of $\ell_1$ if ...
summary:The paper contains some applications of the notion of $Ł$ sets to several classes of operato...
summary:It is proved that a Köthe sequence space is weakly orthogonal if and only if it is order con...
summary:It is known that a Banach lattice with order continuous norm contains a copy of $\ell_1$ if ...
summary:It is known that a Banach lattice with order continuous norm contains a copy of $\ell_1$ if ...
summary:We establish some properties of the class of order weakly compact operators on Banach lattic...
summary:We introduce the notion of order weakly sequentially continuous lattice operations of a Bana...
We investigate Banach lattices on which each positive almost Dunford-Pettis operator is almost limit...
AbstractLet T: E→F be a positive operator between two Riesz spaces with F Dedekind complete. The mai...
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