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arXiv · 1107.2810

Isomorphisms and strictly singular operators in mixed Tsirelson spaces

Denka Kutzarova·Antonis Manoussakis·Anna Pelczar-Barwacz
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Abstract

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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Denka Kutzarova, Antonis Manoussakis, Anna Pelczar-Barwacz. 2011-07-14. Isomorphisms and strictly singular operators in mixed Tsirelson spaces. https://arxiv.org/abs/1107.2810

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