Duality principles for frames and Riesz sequences via Morita equivalence

17.04. bis 17.04.2024, 10:15  –  room 2.22, house 9
Forschungsseminar: Gruppen und Operatoralgebren

Ulrik Enstad

Frames provide a robust notion of infinite spanning sequences in a Hilbert space. Dually, a Riesz sequence is a strong type of linearly independent sequence. The frame property of certain structured function systems is sometimes equivalent to the Riesz sequence property of an associated function system. There are several such so-called duality principles in applied harmonic analysis, and I aim to convey in this talk that they can all be unified by a more abstract duality principle for Morita equivalence bimodules. This is joint work with Franz Luef.