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Extreme points of the complex binary trilinear ball



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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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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:21 Jun 2018 07:10

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