Isomorphisms and strictly singular operators in mixed Tsirelson spaces

Details Isomorphisms and strictly singular operators in mixed Tsirelson spaces Isomorphisms and strictly singular operators in mixed Tsirelson spaces

2011-07-14

arxiv.org/abs/1107.2810v1

Mathematics

Functional Analysis

29 pages, no figures

Scientific paper

We study the family of isomorphisms and strictly singular operators in mixed Tsirelson spaces and their modified versions setting. We show sequential minimality of modified mixed Tsirelson spaces $T_M[(\mc{S}_n,\theta_n)]$ satisfying some regularity conditions and present results on existence of strictly singular non-compact operators on subspaces of mixed Tsirelson spaces defined by the families $(\mc{A}_n)_n$ and $(\mc{S}_n)_n$.

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