ANALYSIS
SEMINAR

"A Proof of the Spectral Multiplicity Theorem"

by

Serdar AY

(Bilkent University)

Abstract: By
the Spectral Theorem, a normal operator on a separable Hilbert Space is
unitarily equivalent to a multiplication operator on L^2(X) for some measure space
X, where the multiplication is by an essentially bounded function on X. In this
talk we present a proof of the spectral multiplicity theorem for a multiplication
operator on L^2(X) in the direct integral Hilbert Space representation with X a
locally compact separable metric space with a probability measure, through the
method of disintegration of measures.

Tea and cookies will be served before the
seminar.

Date:
Thursday, April 5, 2012

Time: 14.00 – 15:00

Place: Mathematics Seminar Room,
SA-141