Topics in the Nonlinear Geometry of Banach Spaces

thesis

posted on 2017-10-31, 00:00 authored by Bruno De Mendonca Braga

In this dissertation, I study several topics on the nonlinear geometry of Banach spaces.

History

Advisor

Rosendal, Christian

Chair

Rosendal, Christian

Department

Mathematics

Degree Grantor

University of Illinois at Chicago

Degree Level

Doctoral

Committee Member

Csornyei, Marianna Marker, David Shvydkoy, Roman Sinapova, Dima

Submitted date

August 2017

Issue date

2017-06-12

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Keywords

nonlinear geometry of Banach spaces, coarse embeddings, uniform embeddings, coarse Lipschitz embeddings, Banach-Saks properties, superstable Banach spaces, convexifications of the Tsirelson space, Gurarij space

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