Title : Impact of Functional Constraints on Commuting Row Contractions
Abstract : In this talk, I will describe how functional constraints applied to tuples of commuting operators can inform us about the operators structure and spectra in the case of commuting row contractions. Starting from the well-known results for matrices, I will build up to the methods used to treat the infinite dimensional and multivariate setting of interest in this talk. The main result is a structure theorem for absolutely continuous commuting row contractions that are constrained by special ideals of the multiplier algebra M for the Drury–Arveson space. This result can be leveraged to provide a description of interpolating sequences for M. Lastly, I describe how the functional constraints impact the joint spectra of commuting row contractions more broadly. This talk is based on joint work with R. Clouatre at the University of Manitoba.
Lambton Tower 9-118 (in person)
2-3pm, November 21
Counts toward seminar attendance for MSc and PhD students in Math & Stats