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Functional Analysis
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1.
Theorem
: Nested Closed Subset Theorem
2.
Banach Spaces and Banach Algebra
3.
Hilbert Spaces
4.
Linear Operators and Linear Functionals
5.
Nonlinear Operator
6.
Lebesque Measure and Lebesque Integral
7.
Simple Connectivity
8.
The $C(X)$ Algebra
9.
Compact Sets
10.
Definition
: SigmaAlgebra
11.
Definition
: Ring of Sets (measuretheoretic definition)
12.
Definition
: Functional
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Notation
Axiomatic Method
This work was contributed under
CC BYSA 3.0
by:
bookofproofs
This work is a derivative of:
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Bibliography (further reading)