A composition theorem for multiple summing operators

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Villanueva, Ignacio and Pérez García, David (2005) A composition theorem for multiple summing operators. Monatshefte fur Mathematik, 146 (3). pp. 257-361. ISSN 0026-9255

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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.

Item Type:	Article
Uncontrolled Keywords:	Multilinear operators; Multiple p-summing operators; Nuclear operators
Subjects:	Sciences > Mathematics > Mathematical analysis
ID Code:	11661
Deposited On:	03 Dec 2010 08:45
Last Modified:	03 Dec 2014 08:43

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