Publication: Schatten-Vonneumann Classes of Multilinear Forms
No Thumbnail Available
Official URL
Full text at PDC
Publication Date
1992
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Duke Univ. Press
Citations
Exportar
Abstract
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.