%0 Journal Article
%A Cobos, Fernando
%A Kuehn, Thomas
%A Peetre, Jaak
%T On G(p)-classes of trilinear forms
%D 1999
%@ 0024-6107
%U https://hdl.handle.net/20.500.14352/57244
%X 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-dimensionalcase, it is shown that the best constant d# that relates the Hilbert±Schmidt norm of a form with its boundednorm behaves like n. Some results are also obtained in the quasi-Banach case (0!p!1), and for twoboundedforms. Finally, the domination problem is investigated in the trilinear set-up.
%~