THERE IS NO BILINEAR BISHOP-PHELPS THEOREM

Authors
ACOSTA MD AGUIRRE FJ PAYA R
Citation
Md. Acosta et al., THERE IS NO BILINEAR BISHOP-PHELPS THEOREM, Israel Journal of Mathematics, 93, 1996, pp. 221-227
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
93
Year of publication
1996
Pages
221 - 227
Database
ISI
SICI code
0021-2172(1996)93:<221:TINBBT>2.0.ZU;2-R
Abstract
We answer a question posed by R. Aron, C. Finet and E. Werner, on the bilinear version of the Bishop-Phelps theorem, by exhibiting an exampl e of a Banach space X such that the set of norm-attaining bilinear for ms on X x X is not dense in the space of all continuous bilinear forms .