Date of Award
College of Natual Science and Mathematics, Mathematics
Álvaro Arias, Ph.D.
Banach space theory, Infinite combinatorics
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.
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Received from ProQuest
Girón-Garnica, Gabriel, "Banach Spaces from Barriers in High Dimensional Ellentuck Spaces" (2017). Electronic Theses and Dissertations. 1310.
Mathematics, Theoretical Mathematics