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Domination of operators on function spaces

Published online by Cambridge University Press:  01 January 2009

A. DEFANT  and
E. A. SÁNCHEZ PÉREZ
A. DEFANT
Affiliation:
Institut für Mathematik, Fakultät V, Universität Oldenburg, D-26111 Oldenburg, Germany. e-mail: defant@mathematik.uni-oldenburg.de
E. A. SÁNCHEZ PÉREZ
Affiliation:
Instituto de Matemática Pura y Aplicada U.P.V. Universidad Politécnica de Valencia. 46071 Valencia, Spain. e-mail: easancpe@mat.upv.es
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Abstract

We prove a domination theorem for operators on Köthe function spaces by probability measures which includes both the Maurey–Rosenthal domination theorem and the Pisier domination theorem as special cases.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 1 , January 2009 , pp. 57 - 66
Copyright
Copyright © Cambridge Philosophical Society 2008

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References

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