You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Aurelian Gheondea (Bilkent)
“Partially Positive Semidefinite Maps on *-Semigroupoids.”
Abstract: Motivated by Cuntz-Krieger-Toeplitz systems associated with undirected graphs and representations of groupoids, we obtain a generalization of the Sz-Nagy’s Dilation Theorem for operator-valued partially positive semidefinite maps on *-semigroupoids with the unit, with varying degrees of aggregation, firstly by *-representations with unbounded operators and then we characterize the existence of the corresponding *-representations by bounded operators.
Date: Wednesday, October 4, 2023
Time: 13:45 – 14:45
Place: Mathematics Seminar Room, SA – 141