Minimality properties of Tsirelson type spaces

Denka Kutzarova, Denny H. Leung, Antonis Manoussakis, Wee Kee Tang

Research output: Contribution to journalArticlepeer-review


We study minimality properties of partly modified mixed Tsirelson spaces. A Banach space with a normalized basis (ek) is said to be subsequentially minimal if for every normalized block basis (xk) of (ek), there is a further block basis (yk) of (x k) such that (yk) is equivalent to a subsequence of (ek). Sufficient conditions are given for a partly modified mixed Tsirelson space to be subsequentially minimal, and connections with Bourgain's l1 -index are established. It is also shown that a large class of mixed Tsirelson spaces fails to be subsequentially minimal in a strong sense.

Original languageEnglish (US)
Pages (from-to)233-263
Number of pages31
JournalStudia Mathematica
Issue number3
StatePublished - 2008


  • Partly modified mixed Tsirelson spaces
  • Subsequential minimality

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Minimality properties of Tsirelson type spaces'. Together they form a unique fingerprint.

Cite this