Topic: Duality and Weak Convergence in L^p

The Canonical Embedding Into the Bidual

Testing Weak Convergence With Standard Sequences

Reflexivity of Lp for 1 < p < Infinity

Radon-Nikodym Proof of Lp Duality for 1 < p < Infinity

Pointwise Convergence Versus Weak Convergence

Mazur’s Lemma and Convex Combinations

Lower Semicontinuity of the Norm Under Weak Limits

Endpoint Nonreflexivity in Sequence Spaces

Eberlein-Smulian and Weakly Convergent Subsequences

Constructing Measures From Positive Lp Functionals