Graduate Analysis Seminar
Jack Arbunich
UIC
Stone's Theorem (part 2)
Abstract: With bounded self-adjoint operators the exponential of an operator makes sense via its Taylor series as the series converges in norm. This method is not possible if our operator is unbounded. Stone's Theorem states that if we have a strongly continuous one parameter unitary group, then there is a self-adjoint operator $A$ on our Hilbert Space such that the one parameter group is the exponential of the operator $A$.
Wednesday April 15, 2015 at 2:00 PM in SEO 427