Media Summary: Review of Lp spaces and their basic properties. Definition and some basic properties of the weak topology and weak convergence. Convex sets and linear operators in the weak topology. The weak topology as a vector space topology.
Math400 Functional Analysis Section 5 - Detailed Analysis & Overview
Review of Lp spaces and their basic properties. Definition and some basic properties of the weak topology and weak convergence. Convex sets and linear operators in the weak topology. The weak topology as a vector space topology. The weak and strong topologies of a normed space coincide if and only if the space is finite dimensional. In an infinite ... Weak compactness and weak sequential compactness. Uniformly convex spaces. Examples and other equivalent ... Definition and basic properties of the weak star topology of the dual of a normed space.
