Publication: On G(p)-classes of trilinear forms
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1999
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Oxford University Press
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Abstract
In a previous paper, the authors laid the foundations of a theory of Schatten±von Neumann classes 'p
(0!p%¢) of trilinear forms in Hilbert space. This paper continues that research. In the n-dimensional
case, it is shown that the best constant d# that relates the Hilbert±Schmidt norm of a form with its bounded
norm behaves like n. Some results are also obtained in the quasi-Banach case (0!p!1), and for twobounded
forms. Finally, the domination problem is investigated in the trilinear set-up.
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