A Reflexive Banach Which is Universal for Uniformly Convex Spaces

Authors

Thomas Schlumprecht, Texas A&M University

Document Type

Lecture

Publication Date

3-24-2005

Abstract

In 1980, J. Bourgain proved that a Banach space that contains (isomorphically) all reflexive separable Banach spaces must contain C[0,1], and thus such a space must contain all separable spaces. He asked whether there exists a reflexive space that contains all uniformly convex spaces. We will give an affirmative answer to this question. This is joint work with Edward Odell.

Relational Format

presentation

Recommended Citation

Schlumprecht, Thomas, "A Reflexive Banach Which is Universal for Uniformly Convex Spaces" (2005). Analysis Seminar. 50.
https://egrove.olemiss.edu/math_analysis/50