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  On the structure of bounded trilinear forms (1997) [1 citations — 0 self]

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by F. Cobos, T. Kuhn, J. Peetre
http://www.maths.lth.se/matematiklu/personal/jaak/structure.ps
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Abstract:

0. Introduction. In previous work [CKP1], [CKP2] the authors have initiated a study of Schatten-von Neumann classes of trilinear forms in Hilbert space. We believe however that, in order to progress further, it is necessary to gain a better understanding of the structure of bounded forms, and of compact ones. This is a rather intricate problem. Accordingly, in this paper we have collected various rather fragmentary partial results

Citations

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1 Abstract We consider trilinear forms in Hilbert space over either the complex or the real numbers. In particular, we give a rather complete description of the structure of the unit ball of the space of bounded trilinear form in the binary situation (all t – Teubner, Leipzig-Berlin - 1922