Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419365 | Journal of Mathematical Analysis and Applications | 2012 | 21 Pages |
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 TM[(Sn,θn)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 (An)n and (Sn)n.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Denka Kutzarova, Antonis Manoussakis, Anna Pelczar-Barwacz,