Geodesic
Ideal norms and trigonometric orthonormal systems
Studia Mathematica, Tome 112 (1994) no. 1, pp. 59-74

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We characterize the UMD-property of a Banach space X by sequences of ideal norms associated with trigonometric orthonormal systems. The asymptotic behavior of those numerical parameters can be used to decide whether X is a UMD-space. Moreover, if this is not the case, we obtain a measure that shows how far X is from being a UMD-space. The main result is that all described sequences are not only simultaneously bounded but are also asymptotically equivalent.
DOI : 10.4064/sm-112-1-59-74

Jörg Wenzel 1

1 
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Jörg Wenzel. Ideal norms and trigonometric orthonormal systems. Studia Mathematica, Tome 112 (1994) no. 1, pp. 59-74. doi: 10.4064/sm-112-1-59-74

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