×

The almost lattice isometric copies of \(c_{0}\) in Banach lattices. (English) Zbl 1123.46010

Summary: 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 R. C. James concerning the almost isometric copies of \(c_{0}\) in Banach spaces.

MSC:

46B04 Isometric theory of Banach spaces
46B25 Classical Banach spaces in the general theory
46B42 Banach lattices
PDF BibTeX XML Cite
Full Text: EuDML EMIS