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The almost lattice isometric copies of $c_{0}$ in Banach lattices

Jinxi Chen — 2005

Commentationes Mathematicae Universitatis Carolinae

In this paper it is shown that if a Banach lattice $E$ contains a copy of $c_{0}$ , then it contains an almost lattice isometric copy of $c_{0}$ . The above result is a lattice version of the well-known result of James concerning the almost isometric copies of $c_{0}$ in Banach spaces.

The lattice-almost isometric copies of $l^{1}$ and $l^{\infty}$ in Banach lattices.

Chen, Jinxi — 2006

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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The almost lattice isometric copies of c 0 in Banach lattices

The lattice-almost isometric copies of l 1 and l ∞ in Banach lattices.

The almost lattice isometric copies of $c_{0}$ in Banach lattices

The lattice-almost isometric copies of $l^{1}$ and $l^{\infty}$ in Banach lattices.