Multilinear functionals of Schatten class type and approximation numbers

DOI10.4171/PM/1833zbMath1172.46032OpenAlexW2014639375MaRDI QIDQ1008844

Cristiane de Andrade Mendes

Publication date: 30 March 2009

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0032-5155&vol=66&iss=1&rank=7

zbMATH Keywords

multilinear mappingsapproximation numbersSchatten classes

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items (1)

Two examples of trilinear forms whose approximation numbers satisfy the appropriate summability properties but which are not nuclear or of Hilbert-Schmidt type

Cites Work

• On factorization of Hilbert--Schmidt mappings
• The cross-space of linear transformations. III
• The cross-space of linear transformations. II
• Multilinear Mappings of Nuclear and Integral Type
• On factorization of Schatten class type mappings
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