Syllabus Math 546

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