Faculty Publications

Title

Operators on the L∞-spaces of Bourgain and Delbaen

SelectedWorks Author Profiles:

Lon Mitchell

Document Type

Article

Publication Date

2010

ISSN

1607-3606 (Print) 1727-933X (Online)

Abstract

In 1980, J. Bourgain and F. Delbaen constructed two classes and of ∞-spaces each exhibiting many surprising properties. In particular, the members of each possess the Schur property and the members of are somewhat reflexive. In this paper, for a Banach space in either of these classes we define a bounded shift-type operator which is an isometry when restricted to a certain hyperplane.

Publisher

Taylor & Francis

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