Part: Functional Analysis

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  1. Theorem: Nested Closed Subset Theorem
  2. Chapter: Banach Spaces and Banach Algebra
  3. Chapter: Hilbert Spaces
  4. Chapter: Linear Operators and Linear Functionals
  5. Chapter: Non-linear Operator
  6. Chapter: Lebesgue Measure and Lebesgue Integral
  7. Chapter: Simple Connectivity
  8. Chapter: The $C(X)$ Algebra
  9. Chapter: Compact Sets
  10. Definition: Sigma-Algebra
  11. Definition: Ring of Sets (measure-theoretic definition)
  12. Definition: Functional

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