ALMOST ISOMETRIC COPIES OF L-INFINITY IN SOME BANACH-SPACES

Authors
HUDZIK H MASTYLO M
Citation
H. Hudzik et M. Mastylo, ALMOST ISOMETRIC COPIES OF L-INFINITY IN SOME BANACH-SPACES, Proceedings of the American Mathematical Society, 119(1), 1993, pp. 209-215
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
119
Issue
1
Year of publication
1993
Pages
209 - 215
Database
ISI
SICI code
0002-9939(1993)119:1<209:AICOLI>2.0.ZU;2-5
Abstract
It is shown that any sigma-complete Banach lattice, with an order semi -continuous norm containing an isomorphic copy of l(infinity), contain s an almost isometric copy of l(infinity). It is also proved that any Fenchel-Orlicz space (resp. the subspace of finite elements of any Fen chel-Orlicz space) generated by an Orlicz function not satisfying the suitable DELTA2-condition contains an almost isometric copy of l(infin ity) (resp. c0).