Date of Award
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.
Girón-Garnica, Gabriel, "Banach Spaces from Barriers in High Dimensional Ellentuck Spaces" (2017). Electronic Theses and Dissertations. 1310.
Received from ProQuest
Mathematics, Theoretical Mathematics