RT Journal Article
T1 Schatten-Vonneumann Classes of Multilinear Forms
A1 Cobos Díaz, Fernando
A1 Kühn, Thomas
A1 Peetre, Jaak
AB The authors establish a number of results concerning normed ideals of multilinear forms in Banach spaces which extend the theory of trace ideals of operators on Hilbert space to such multilinear forms. For example, it is shown that the dual of the space of compact forms is the space of nuclear forms, while the second dual is the space of bounded forms. Moreover, a direct analogue of the Schatten p-ideals of operators on Hilbert space is defined using interpolation techniques and a normal form for compact forms is introduced.
PB Duke Univ. Press
SN 0012-7094
YR 1992
FD 1992
LK https://hdl.handle.net/20.500.14352/57321
UL https://hdl.handle.net/20.500.14352/57321
DS Docta Complutense
RD 18 sept 2024