Monatshefte für Mathematik

, Volume 146, Issue 3, pp 257–261 | Cite as

A Composition Theorem for Multiple Summing Operators

  • David Pérez-García
  • Ignacio Villanueva


We prove that the composition S(u1, …, 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.

2000 Mathematics Subject Classifications: 47H60, 46B25 
Key words: Multilinear operators, multiple p-summing operators, nuclear operators 


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Copyright information

© Springer-Verlag/Wien 2005

Authors and Affiliations

  • David Pérez-García
    • 1
  • Ignacio Villanueva
    • 1
  1. 1.Universidad Complutense de MadridSpain

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