Authors
Citation
Jh. Qiu, A cone characterization of reflexive Banach spaces, J MATH ANAL, 256(1), 2001, pp. 39-44
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X
→ ACNP
Volume
256
Issue
1
Year of publication
2001
Pages
39 - 44
Database
ISI
SICI code
0022-247X(20010401)256:1<39:ACCORB>2.0.ZU;2-P
Abstract
Let (Z, \ \ \ \) be a Banach space. Then (Z, \ \ \ \) is reflexive if and o
nly if for each convex cone Lambda admitting a bounded base in (Z*, \ \ \ \
*), Lambda (*), is solid in (Z, \ \ \ \). Here Z* denotes the dual of (Z, \
\ \ \) and Lambda (*) denotes the polar of Lambda taken in Z. (C) 2001 Aca
demic Press.