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Multilinear forms of Hilbert type and some other distinguished forms

På svenska

Author

  • Fernando Cobos
  • Thomas Kühn
  • Jaak Peetre

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.

Publishing year

2006

Language

English

Pages

57-70

Publication/Series

Integral Equations and Operator Theory

Volume

56

Issue

1

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • infinity)
  • forms on L-2(0
  • multilinear forms of the type of the Hilbert matrix
  • distinguished
  • norm of the permanent

Status

Published

ISBN/ISSN/Other

  • ISSN: 1420-8989