A+ CATEGORY SCIENTIFIC UNIT

PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Euclidean arrangements in Banach spaces

Volume 227 / 2015

Daniel J. Fresen Studia Mathematica 227 (2015), 55-76 MSC: 46B20, 52A23, 46B09, 52A21, 46B07. DOI: 10.4064/sm227-1-4

Abstract

We study the way in which the Euclidean subspaces of a Banach space fit together, somewhat in the spirit of the Kashin decomposition. The main tool that we introduce is an estimate regarding the convex hull of a convex body in John's position with a Euclidean ball of a given radius, which leads to a new and simplified proof of the randomized isomorphic Dvoretzky theorem. Our results also include a characterization of spaces with nontrivial cotype in terms of arrangements of Euclidean subspaces.

Authors

  • Daniel J. FresenDepartment of Mathematics
    Yale University
    New Haven, CT, U.S.A.
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image