Multilinear forms of Hilbert type and some other distinguished forms

Summary, in English

We give some new examples of bounded multilinear forms on the Hilbert spaces l(2) and L-2(0, infinity). We characterize those which are compact or Hilbert-Schmidt. In particular, we study m-linear forms (m >= 3) on l(2) which can be regarded as the multilinear analogue of the famous Hilbert matrix. We also determine the norm of the permanent on K-n, where K = R or C.

• Författare: Fernando Cobos; Thomas Kühn; Jaak Peetre
• Avdelning/ar: Matematik (naturvetenskapliga fakulteten)
• Publiceringsår: 2006
• Språk: Engelska
• Sidor: 57-70
• Publikation/Tidskrift/Serie: Integral Equations and Operator Theory
• Volym: 56
• Issue: 1
• Länkar: http://dx.doi.org/10.1007/s00020-005-1412-2
• Dokumenttyp: Artikel i tidskrift
• Förlag: Springer
• Ämne: Mathematics
• Nyckelord: infinity); forms on L-2(0; multilinear forms of the type of the Hilbert matrix; distinguished; norm of the permanent
• Status: Published
• ISBN/ISSN/Övrigt: ISSN: 1420-8989