English

Strictly singular non-compact operators on a class of HI spaces

Functional Analysis 2014-02-26 v1

Abstract

We present a method for constructing bounded strictly singular non-compact operators on mixed Tsirelson spaces defined either by the families (A_n) or (S_n) of a certain class, as well as on spaces built on them, including hereditarily indecomposable spaces.

Keywords

Cite

@article{arxiv.1203.0243,
  title  = {Strictly singular non-compact operators on a class of HI spaces},
  author = {Antonis Manoussakis and Anna Pelczar-Barwacz},
  journal= {arXiv preprint arXiv:1203.0243},
  year   = {2014}
}

Comments

19 pages