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