Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

Ideal norms and trigonometric orthonormal systems

Jörg Wenzel — 1994

Studia Mathematica

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.

Uniformly convex operators and martingale type.

Jörg Wenzel — 2002

Revista Matemática Iberoamericana

The concept of uniform convexity of a Banach space was gen- eralized to linear operators between Banach spaces and studied by Beauzamy [1]. Under this generalization, a Banach space X is uniformly convex if and only if its identity map Ix is. Pisier showe

Page 1

Download Results (CSV)