, Volume 146, Issue 3, pp 257-261
Date: 10 Aug 2005

A Composition Theorem for Multiple Summing Operators

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Abstract.

We prove that the composition S(u 1, …, u n ) of a multilinear multiple 2-summing operator S with 2-summing linear operators u j is nuclear, generalizing a linear result of Grothendieck.

Both authors were partially supported by DGICYT grant BMF2001-1284.