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Multilinear forms of Hilbert type and some other distinguished forms

Cobos, Fernando ; Kühn, Thomas and Peetre, Jaak LU (2006) In Integral Equations and Operator Theory 56(1). p.57-70
Abstract
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.
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
infinity), forms on L-2(0, multilinear forms of the type of the Hilbert matrix, distinguished, norm of the permanent
in
Integral Equations and Operator Theory
volume
56
issue
1
pages
57 - 70
publisher
Springer
external identifiers
  • wos:000240516300003
  • scopus:33748324606
ISSN
1420-8989
DOI
10.1007/s00020-005-1412-2
language
English
LU publication?
yes
id
21ceb878-eb0b-4c56-bbb9-a645173e188d (old id 393082)
date added to LUP
2016-04-01 15:43:44
date last changed
2025-10-14 12:29:25
@article{21ceb878-eb0b-4c56-bbb9-a645173e188d,
  abstract     = {{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.}},
  author       = {{Cobos, Fernando and Kühn, Thomas and Peetre, Jaak}},
  issn         = {{1420-8989}},
  keywords     = {{infinity); forms on L-2(0; multilinear forms of the type of the Hilbert matrix; distinguished; norm of the permanent}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{57--70}},
  publisher    = {{Springer}},
  series       = {{Integral Equations and Operator Theory}},
  title        = {{Multilinear forms of Hilbert type and some other distinguished forms}},
  url          = {{http://dx.doi.org/10.1007/s00020-005-1412-2}},
  doi          = {{10.1007/s00020-005-1412-2}},
  volume       = {{56}},
  year         = {{2006}},
}