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 |
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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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