Asymptotically isometric copies of c(0) and l(1) in Bochner-spaces

Authors
Dowling, PN Randrianantoanina, N
Citation
Pn. Dowling et N. Randrianantoanina, Asymptotically isometric copies of c(0) and l(1) in Bochner-spaces, J MATH ANAL, 262(1), 2001, pp. 419-434
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
262
Issue
1
Year of publication
2001
Pages
419 - 434
Database
ISI
SICI code
0022-247X(20011001)262:1<419:AICOCA>2.0.ZU;2-W
Abstract
Let X be a Banach space and (Omega, Sigma, mu) be a finite measure space. I t is shown that if 1 less than or equal to p < infinity (resp. 1 < p < infi nity), the Bochner space L-p(mu, X) contains asymptotically isometric copie s of c(u) (resp. l(1)) if and only if X does. (C) 2001 Academic Press.