Measure, Integration & Real Analysis · Problem 9B.17

Linear Maps on Hilbert Spaces — Sheldon Axler

Mathematics — Measure Theory · lp-reflexive

Problem

Prove that if

\mu

is a (positive) measure and

1 < p < \infty

, then

L^p(\mu)

is reflexive. [See the definition before Exercise 19 in Section 7B for the meaning of reflexive.]