Isomorphisms and strictly singular operators in mixed Tsirelson spaces

Denka Kutzarova,Antonis Manoussakis,Anna Pelczar-Barwacz

doi:10.1016/j.jmaa.2011.10.053

Isomorphisms and strictly singular operators in mixed Tsirelson spaces

Denka Kutzarova, Antonis Manoussakis + Show 1 more

Open Access

https://doi.org/10.1016/j.jmaa.2011.10.053

Copy DOI

Journal: Journal of Mathematical Analysis and Applications	Publication Date: Nov 2, 2011
Citations: 10	License type: elsevier-specific: oa user license

Affiliation: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Technical University of Crete, Jagiellonian University

#Mixed Tsirelson Spaces #Operators In Spaces + Show 7 more

Abstract
Full-Text PDF
Similar Papers

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.

Full Text