Functional Analysis
Dual of ℓₚ Spaces
Dual of Lₚ Spaces
Dual of C[a,b]
Dual of c₀
Second Dual Space X**
Canonical Embedding
Reflexive Spaces
Examples and Non-Examples
Properties of Reflexive Spaces
Weak Topology σ(X,X*)
Weak-* Topology σ(X*,X)
Basic Neighborhoods
Relationship to Norm Topology
Weak Convergence in X
Weak-* Convergence in X*
Characterizations
Examples and Counterexamples
Relationship to Norm Convergence
Banach-Alaoglu Theorem
Weak Compactness
Eberlein-Šmulian Theorem
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6. Fundamental Theorems of Functional Analysis
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8. Spectral Theory