Article ID Journal Published Year Pages File Type
4592127 Journal of Functional Analysis 2007 15 Pages PDF
Abstract

We show that the conjugate T∗ of an operator , with X and Y Banach spaces, satisfies the following dichotomy: either T∗ preserves the nonconvergence of bounded martingales in Y∗, or there exists a compact operator such that the kernel N(T∗+K∗) fails the Radon–Nikodým property.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory