Hilbert spaces
4 points * Second semester * Clayton * Prerequisites: MAP2011, MAT2020; MAP3071 is also recommended
Inner product spaces, orthogonality. Hilbert spaces. Orthonormal systems, Gram-Schmidt process, Fourier expansions. Bounded linear operators and functionals. Riesz representation theorem. Spectral theory for self-adjoint operators: applications.
Assessment
Examinations (1.5 hours): 73% * Assignments: 27%
Recommended texts
Young N An introduction to Hilbert space CUP, 1988