You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Aurelian Gheondea (Institute of Mathematics of the Romanian Academy and Emeritus of Bilkent University)
“A Functional Model for Locally Normal Operators”
Abstract: We first make a survey on the three spectral theorems for normal operators on Hilbert spaces.
Then, we present a functional model for locally normal operators on representing locally Hilbert spaces combined with a spectral multiplicity model on a pseudo-concrete functional model for the underlying locally Hilbert space, under the technical condition on the directed set to be sequentially finite.
As a consequence of the main result we sketch the direct integral representation of locally normal operators under the same technical assumptions and the separability of the locally Hilbert space.
Date: Wednesday, November 19, 2025
Time: 14:00-15:00,
Place: SA-141