Extreme points of the complex binary trilinear ball
Studia Mathematica, Tome 138 (2000) no. 1, pp. 81-92
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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