caa a22 4500 467931771 CHVBK 20180406152945.0 cr unu---uuuuu 170328e20060901xx s 000 0 eng 10.1007/s00020-005-1412-2 doi (NATIONALLICENCE)springer-10.1007/s00020-005-1412-2 Multilinear Forms of Hilbert Type and Some Other Distinguished Forms [Elektronische Daten] [Fernando Cobos, Thomas Kühn, Jaak Peetre] Abstract.: We give some new examples of bounded multilinear forms on the Hilbert spaces ℓ2 and L2 (0,∞). We characterize those which are compact or Hilbert-Schmidt. In particular, we study m-linear forms (m≥3) on ℓ2 which can be regarded as the multilinear analogue of the famous Hilbert matrix. We also determine the norm of the permanent on $$\mathbb{K}^{n} ,$$ where $$\mathbb{K} = \mathbb{R}\;{\text{or}}\;\mathbb{C}.$$ Birkhäuser Verlag, Basel, 2006 Multilinear forms of the type of the Hilbert matrix nationallicence distinguished forms on L 2 (0,∞) nationallicence norm of the permanent nationallicence Cobos Fernando Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, E-28040, Madrid, Spain aut Kühn Thomas Mathematisches Institut, Fakultät für Mathematik und Informatik, Universität Leipzig, Augustusplatz 10/11, D-04109, Leipzig, Germany aut Peetre Jaak Centre for Mathematical Sciences, Mathematics, Faculty of Science, Lund University, S-221 00, Lund, Sweden aut Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 56/1(2006-09-01), 57-70 0378-620X 56:1<57 2006 56 20 https://doi.org/10.1007/s00020-005-1412-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1412-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cobos Fernando Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, E-28040, Madrid, Spain aut NATIONALLICENCE 700 1- Kühn Thomas Mathematisches Institut, Fakultät für Mathematik und Informatik, Universität Leipzig, Augustusplatz 10/11, D-04109, Leipzig, Germany aut NATIONALLICENCE 700 1- Peetre Jaak Centre for Mathematical Sciences, Mathematics, Faculty of Science, Lund University, S-221 00, Lund, Sweden aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhauser.ch 56/1(2006-09-01), 57-70 0378-620X 56:1<57 2006 56 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer