Multiple summing, dominated and summing operators on a product of $$l_1$$ l 1 spaces

Multiple summing, dominated and summing operators on a product of $$l_1$$ l 1 spaces We use the Maurey-Rosenthal factorization theorem to give a characterization of multiple 2-summing, 2-dominated and 2-summing operators (resp. multiple 1-summing, 1-dominated and 1-summing operators) on a product of $$l_{1}$$ l 1 spaces, which extend a result of A. Nahoum in the linear case. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Multiple summing, dominated and summing operators on a product of $$l_1$$ l 1 spaces

Positivity , Volume 18 (4) – Jan 21, 2014

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-014-0274-8
Publisher site
See Article on Publisher Site

Abstract

We use the Maurey-Rosenthal factorization theorem to give a characterization of multiple 2-summing, 2-dominated and 2-summing operators (resp. multiple 1-summing, 1-dominated and 1-summing operators) on a product of $$l_{1}$$ l 1 spaces, which extend a result of A. Nahoum in the linear case.

Journal

PositivitySpringer Journals

Published: Jan 21, 2014

References

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