Math 546. Hilbert Spaces Instructor Syllabus
This is an introductory course to Hilbert space operators and operator algebras.
The course covers:
- Geometrical properties of Hilbert spaces.
- Compact and bounded linear operators on Hilbert spaces.
- Basic theory of Banach algebras and C*-algebras.
- Spectral theory of bounded normal operators.
- Unbounded operators on Hilbert spaces.
Textbook used in past semesters: A course in functional analysis by J. Conway, 2nd ed.
June 10, 2010