Operators on C[0,1] Preserving Copies of Asymptotic ℓ1 Spaces


Given separable Banach spaces X, Y , Z and a bounded linear operator T : X → Y , then T is said to preserve a copy of Z provided that there exists a closed linear subspace E of X isomorphic to Z and such that the restriction of T to E is an into isomorphism. It is proved that every operator on C([0, 1]) which preserves a copy of an asymptotic ℓ1 space also… (More)


Figures and Tables

Sorry, we couldn't extract any figures or tables for this paper.

Slides referencing similar topics