MATH 452 Functional Analysis

Metric Spaces, Normed and Banach Linear Spaces, Inner Product and Hilbert Spaces, Linear Operators on Normed Spaces, Bounded and Compact Linear Operators, Spaces of Linear Operators, Linear Functionals on Normed Spaces. Bounded Linear Operators on Inner Product Spaces, Bounded Linear Functionals. Adjoint of a Bounded Operator, Self-Adjoint, Unitary and Normal Operators. Spectral Properties of Bounded and Compact operators, Unbounded Operators.