MATH 6368 Operator Theory

This course primarily covers bounded linear operators on a Hilbert spaces. The topics are: linear and bilinear functionals, inner product and norm; Hilbert space; subspace; operators; spectrum of operators; spectral theorem for normal operators; Polar decomposition; contractions; isometries; quasinormal operators; subnormal operators; hyponormal operators; invariant subspaces.

Credits

3

Prerequisite

MATH 3372 Real Analysis I with a grade of ?C? or higher or consent of instructor.

Schedule Type

Lecture

Grading Basis

Standard Letter (A-F)

Administrative Unit

Mathematics

Offered

As scheduled