Date of Award

1-1-2017

Document Type

Dissertation

Degree Name

Ph.D.

Department

Mathematics

First Advisor

Álvaro Arias, Ph.D.

Keywords

Banach Space Theory, Infinite Combinatorics

Abstract

We construct new Banach spaces using barriers in high dimensional Ellentuck spaces following the classical framework under which a Tsirelson type norm is defined from a barrier in Ellentuck space. It is shown that these spaces contain arbitrary large copies of lninfinity and specific block subspaces isomorphic to lp. We also prove that they are lp-saturated and not isomorphic to each other. Finally, a study of alternative norms for our spaces is presented.

Copyright Statement / License for Reuse

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

Provenance

Received from ProQuest

Rights holder

Gabriel Girón-Garnica

File size

88 p.

File format

application/pdf

Language

en

Discipline

Mathematics, Theoretical Mathematics

Included in

Mathematics Commons

Share

COinS