Next: NOTE 1.
Previous: Measure Theory:
Elementary Banach space and Hilbert space theory to include: linear
functionals; the Hahn-Banach Theorem; dual spaces; the Uniform
Boundedness Principle; the Open Mapping Theorem; the Closed Graph
Theorem; the Riesz-Fischer Theorem; the Riesz Representation Theorem;
orthonormal bases; bounded linear transformations; compact operators
and the spectral theorem for compact self-adjoint operators.