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Assessment
What is the primary focus of Functional Analysis?
The study of linear spaces and linear operators.
The analysis of nonlinear differential equations.
The geometry of finite-dimensional spaces.
The behavior of complex functions in the complex plane.
Which of the following is an important concept in Functional Analysis?
Hilbert Spaces.
Euclidean Spaces.
Affine Spaces.
Compact Spaces.
Which theorem states that every bounded linear functional on a Hilbert Space can be represented as an inner product?
Riesz Representation Theorem.
Banach-Steinhaus Theorem.
Hahn-Banach Theorem.
Stone-Weierstrass Theorem.
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