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Extreme points of the complex binary trilinear ball

Cobos, Fernando and Kühn, Thomas and Peetre, Jaak (2000) Extreme points of the complex binary trilinear ball. Studia Mathematica, 138 (1). pp. 81-92. ISSN 0039-3223

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Abstract

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. Grzaslewicz 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.

Item Type:Article
Uncontrolled Keywords:Trilinear form; norm; Hilbert-Schmidt norm; extreme point; extreme point of unit ball
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:15450
Deposited On:31 May 2012 11:07
Last Modified:06 Feb 2014 10:24

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