Rosenthal L∞-theorem revisited

Abstract

A remarkable Rosenthal L∞-theorem is extended to operators T : L∞(Γ, E) → F , where Γ is an infinite set, E a locally bounded (for instance, normed or p-normed) space, and F any topological vector space.

Keywords

• Vector-valued L∞-function space
• locally bounded space
• p-normed space
• quasi-normed space
• isomorphism
• Rosenthal L∞-theorem