summary:It is known that a Banach lattice with order continuous norm contains a copy of $\ell_1$ if and only if it contains a lattice copy of $\ell_1$. The purpose of this note is to present a more direct proof of this useful fact, which extends a similar theorem due to R.C. James for Banach spaces with unconditional bases, and complements the $c_0$- and $\ell_{\infty}$-cases considered by Lozanovskii, Mekler and Meyer-Nieberg
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 E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...
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...
AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E,...
AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E,...
summary:Let $X$ and $E$ be a Banach space and a real Banach lattice, respectively, and let $\Gamma$ ...
summary:Let $X$ and $E$ be a Banach space and a real Banach lattice, respectively, and let $\Gamma$ ...
summary:Let $X$ and $E$ be a Banach space and a real Banach lattice, respectively, and let $\Gamma$ ...
AbstractA criterion in order that a Banach lattice contains an order isometric copy of l∞ is given. ...
summary:In this note we study some properties concerning certain copies of the classic Banach space ...
AbstractThis paper studies the Banach lattice structure of some spaces of continuous functions takin...
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 E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...
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...
AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E,...
AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E,...
summary:Let $X$ and $E$ be a Banach space and a real Banach lattice, respectively, and let $\Gamma$ ...
summary:Let $X$ and $E$ be a Banach space and a real Banach lattice, respectively, and let $\Gamma$ ...
summary:Let $X$ and $E$ be a Banach space and a real Banach lattice, respectively, and let $\Gamma$ ...
AbstractA criterion in order that a Banach lattice contains an order isometric copy of l∞ is given. ...
summary:In this note we study some properties concerning certain copies of the classic Banach space ...
AbstractThis paper studies the Banach lattice structure of some spaces of continuous functions takin...
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 E be a Banach lattice and E0 an ideal of E. Let f be a positive norm-bounded order conti...