%0 Journal Article
%A Cobos, Fernando
%A Kühn, Thomas
%A Peetre, Jaak
%T Multilinear forms of Hilbert type and some other distinguished forms
%D 2006
%@ 0378-620X
%U https://hdl.handle.net/20.500.14352/49881
%X We give some new examples of bounded multilinear forms on thHilbert 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. WeAlso determine the norm of the permanent on Kn, where K = R or C.
%~