Cobos, Fernando and Kühn, Thomas and Peetre, Jaak (1992) Schatten-Vonneumann Classes of Multilinear Forms. Duke mathematical journal , 65 (1). pp. 121-156. ISSN 0012-7094
Official URL: http://projecteuclid.org/euclid.dmj/1077295020
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.
|Uncontrolled Keywords:||Schatten p-ideals; normed ideals of multilinear forms in Banach spaces; trace ideals of operators on Hilbert space; compact forms; nuclear forms; interpolation techniques; normal form|
|Subjects:||Sciences > Mathematics > Functional analysis and Operator theory|
|Deposited On:||07 Jun 2012 10:34|
|Last Modified:||28 Oct 2013 18:28|
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