Publication: Multilinear forms of Hilbert type and some other distinguished forms
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2006
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Birkhauser Verlag
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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.
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