Description:
Topological vector spaces, convexity, Krein-Milman theorem, Banach algebras, operators on Banach spaces, spectral theorem, C*-algebras.
Semester:
Fall of even years
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Recommended Background:
MTH 829 and MTH 920
Description:
Topological vector spaces, convexity, Krein-Milman theorem, Banach algebras, operators on Banach spaces, spectral theorem, C*-algebras.
Semester:
Fall of even years
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Recommended Background:
MTH 829 and MTH 920
Restrictions:
Open to doctoral students in the College of Natural Science or approval of department.
Description:
Introduction to operator and spectral theory. Topics include Banach algebras, bounded and unbounded operators on Banach spaces, spectral theory for normal operators on a Hilbert space, C*-algebras, Schatten - von Neumann classes, the theory of Fredholm operators, semigroup theory.
Semester:
Fall of even years
Credits:
Total Credits: 3 Lecture/Recitation/Discussion Hours: 3
Recommended Background:
MTH 829 and MTH 920
Restrictions:
Open to graduate students or master's students or doctoral students in the Applied Mathematics Major or in the Industrial Mathematics Major or in the Mathematics Major or approval of department.
Description:
Introduction to operator and spectral theory. Topics include Banach algebras, bounded and unbounded operators on Banach spaces, spectral theory for normal operators on a Hilbert space, C*-algebras, Schatten - von Neumann classes, the theory of Fredholm operators, semigroup theory.