Citation
F. Cobos et al., Extreme points of the complex binary trilinear ball, STUD MATH, 138(1), 2000, pp. 81-92
Citations number
9
Categorie Soggetti
Mathematics
Journal title
STUDIA MATHEMATICA
ISSN journal
00393223
→ ACNP
Volume
138
Issue
1
Year of publication
2000
Pages
81 - 92
Database
ISI
SICI code
0039-3223(2000)138:1<81:EPOTCB>2.0.ZU;2-2
Abstract
We characterize all the extreme points of the unit ball in the space of tri
linear forms on the Hilbert space C-2. This answers a question posed by R.
Grzaslewicz and K. John [7], who solved the corresponding problem for the r
eal Hilbert space R-2. As an application we determine the best constant in
the inequality between the Hilbert-Schmidt norm and the norm of trilinear f
orms.