Extreme points of the complex binary trilinear ball
Studia Mathematica, Tome 138 (2000) no. 1, pp. 81-92
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We characterize all the extreme points of the unit ball in the space of trilinear forms on the Hilbert space $ℂ^2$. This answers a question posed by R. Grząślewicz and K. John [7], who solved the corresponding problem for the real 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 forms.
@article{10_4064_sm_138_1_81_92,
author = {Fernando Cobos and and },
title = {Extreme points of the complex binary trilinear ball},
journal = {Studia Mathematica},
pages = {81--92},
year = {2000},
volume = {138},
number = {1},
doi = {10.4064/sm-138-1-81-92},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-138-1-81-92/}
}
Fernando Cobos; ; . Extreme points of the complex binary trilinear ball. Studia Mathematica, Tome 138 (2000) no. 1, pp. 81-92. doi: 10.4064/sm-138-1-81-92
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