Overview
Description
Operators, Banach algebras, Gelfand representation, Gelfand-Naimark Theorem, continuous functional calculus, spectral measures, Borel functional calculus. Applications of the spectral theorem: Fredholm alternative, integral equations.
Requirements
Units
Lecture3
Catalog Details
Offering
Offered: Every Spring - Odd Years
Terms
spring
Attributes
Standard
Learning Outcomes
- work with bounded operators on Hilbert spaces and their properties.
- apply the concepts of Banach algebras, C\*-algebra and of the functional calculus.
- demonstrate mastery of spectral theory.