RT Journal Article
T1 On G(p)-classes of trilinear forms
A1 Cobos, Fernando
A1 Kuehn, Thomas
A1 Peetre, Jaak
AB 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.
PB Oxford University Press
SN 0024-6107
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/57244
UL https://hdl.handle.net/20.500.14352/57244
LA eng
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NO DGICYT
DS Docta Complutense
RD 27 abr 2024