TY - JOUR
T1 - Isomorphisms and strictly singular operators in mixed Tsirelson spaces
AU - Kutzarova, Denka
AU - Manoussakis, Antonis
AU - Pelczar-Barwacz, Anna
N1 - Funding Information:
E-mail addresses: [email protected] (D. Kutzarova), [email protected] (A. Manoussakis), [email protected] (A. Pelczar-Barwacz). 1 Present address: Department of Mathematics, University of Illinois at Urbana-Champaign, USA. 2 Supported partly by the NSF sponsored Workshop in Linear Analysis and Probability at Texas A&M University, 2011. 3 Supported by the Polish Ministry of Science and Higher Education grant No. N N201 421739.
PY - 2012/4/15
Y1 - 2012/4/15
N2 - 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.
AB - 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.
KW - Mixed tsirelson space
KW - Quasiminimality
KW - Strictly singular operator
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U2 - 10.1016/j.jmaa.2011.10.053
DO - 10.1016/j.jmaa.2011.10.053
M3 - Article
AN - SCOPUS:84855350668
SN - 0022-247X
VL - 388
SP - 1040
EP - 1060
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -