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A tensor norm preserving unconditionality for  -spaces |
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| Authors: | Andreas Defant David Pé rez-Garcí a |
| Institution: | Fachbereich Mathematik, Universitaet Oldenburg, D--26111, Oldenburg, Germany ; Área de Matemática Aplicada, Universidad Rey Juan Carlos, C/ Tulipan s/n, 28933 Móstoles (Madrid), Spain |
| Abstract: | We show that, for each  , there is an  -tensor norm  (in the sense of Grothendieck) with the surprising property that the  -tensor product  has local unconditional structure for each choice of  arbitrary  -spaces  . In fact,  is the tensor norm associated to the ideal of multiple  -summing  -linear forms on Banach spaces. |
| Keywords: | Unconditional bases tensor products $p$-summing operators multilinear operators |
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