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oai:docta.ucm.es:20.500.14352/573212024-07-17T14:04:01Zcom_20.500.14352_14col_20.500.14352_15

Schatten-Vonneumann Classes of Multilinear Forms Cobos Díaz, Fernando Kühn, Thomas Peetre, Jaak 517.98 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 Análisis funcional y teoría de operadores 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. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T16:53:00Z 2023-06-20T16:53:00Z 1992 journal article https://hdl.handle.net/20.500.14352/57321 0012-7094 10.1215/S0012-7094-92-06505-7 metadata only access Duke Univ. Press