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- Theorem: Nested Closed Subset Theorem
- Chapter: Banach Spaces and Banach Algebra
- Chapter: Hilbert Spaces
- Chapter: Linear Operators and Linear Functionals
- Chapter: Non-linear Operator
- Chapter: Lebesgue Measure and Lebesgue Integral
- Chapter: Simple Connectivity
- Chapter: The $C(X)$ Algebra
- Chapter: Compact Sets
- Definition: Sigma-Algebra
- Definition: Ring of Sets (measure-theoretic definition)
- Definition: Functional