Cobos Díaz, Fernando and Kühn, Thomas and Peetre, Jaak (2006) Multilinear forms of Hilbert type and some other distinguished forms. Integral Equations and Operator Theory, 56 (1). pp. 57-70. ISSN 0378-620X
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Abstract
We give some new examples of bounded multilinear forms on th Hilbert spaces 2 and L2(0,∞). We characterize those which are compact or Hilbert-Schmidt. In particular, we study m-linear forms (m ≥ 3) on 2 which can be regarded as the multilinear analogue of the famous Hilbert matrix. We Also determine the norm of the permanent on Kn, where K = R or C.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Trilinear Forms; Bilinear-Forms; Matrix; Spectrum; multilinear forms of the type of the Hilbert matrix; distinguished forms on L-2(0, infinity); norm of the permanent;Mathematics |
| Subjects: | Sciences > Mathematics > Mathematical analysis |
| ID Code: | 15027 |
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| Deposited On: | 26 Apr 2012 10:19 |
| Last Modified: | 26 Apr 2012 10:19 |
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