AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E, andsuppose that Ea is order dense in E. If E contains a lattice copy of ℓ∞ (equivalently, E ≠ a) then E/Ea contains a lattice copy of ℓ∞/c0, and hence a lattice-isometric copy of ℓ∞. This is one of the consequences of more general results presented in this paper
International audienceVarious embedding problems of lattices into complete lattices are solved. We p...
AbstractLet L be a bounded lattice, let [a,b] and [c,d] be intervals of L, and let ϕ:[a,b]→[c,d] be ...
AbstractIn this note we prove extensions of the theorems mentioned in the title. In the existing ver...
AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E,...
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:It is known that a Banach lattice with order continuous norm contains a copy of $\ell_1$ if ...
summary:In this paper it is shown that if a Banach lattice $E$ contains a copy of $c_{0}$, then it c...
AbstractA criterion in order that a Banach lattice contains an order isometric copy of l∞ is given. ...
summary:In this paper it is shown that if a Banach lattice $E$ contains a copy of $c_{0}$, then it c...
summary:In this paper it is shown that if a Banach lattice $E$ contains a copy of $c_{0}$, then it c...
AbstractA criterion in order that a Banach lattice contains an order isometric copy of l∞ is given. ...
AbstractLet X be a Banach space, let Y be its subspace, and let Г be an infinite set. We study the c...
Abstract. Let E and F be vector lattices and Lr(E, F) the ordered space of all regular operators, wh...
AbstractLet E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...
International audienceVarious embedding problems of lattices into complete lattices are solved. We p...
AbstractLet L be a bounded lattice, let [a,b] and [c,d] be intervals of L, and let ϕ:[a,b]→[c,d] be ...
AbstractIn this note we prove extensions of the theorems mentioned in the title. In the existing ver...
AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E,...
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:It is known that a Banach lattice with order continuous norm contains a copy of $\ell_1$ if ...
summary:In this paper it is shown that if a Banach lattice $E$ contains a copy of $c_{0}$, then it c...
AbstractA criterion in order that a Banach lattice contains an order isometric copy of l∞ is given. ...
summary:In this paper it is shown that if a Banach lattice $E$ contains a copy of $c_{0}$, then it c...
summary:In this paper it is shown that if a Banach lattice $E$ contains a copy of $c_{0}$, then it c...
AbstractA criterion in order that a Banach lattice contains an order isometric copy of l∞ is given. ...
AbstractLet X be a Banach space, let Y be its subspace, and let Г be an infinite set. We study the c...
Abstract. Let E and F be vector lattices and Lr(E, F) the ordered space of all regular operators, wh...
AbstractLet E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...
International audienceVarious embedding problems of lattices into complete lattices are solved. We p...
AbstractLet L be a bounded lattice, let [a,b] and [c,d] be intervals of L, and let ϕ:[a,b]→[c,d] be ...
AbstractIn this note we prove extensions of the theorems mentioned in the title. In the existing ver...