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

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.

19 pages

Cited by in corpus (1)

• A Banach space with an infinite dimensional reflexive quotient algebra L(X)/SS(X)