Spectra of quotient modules

We determine the Taylor spectra of quotient tuples of the d-shift on Drury-Arveson spaces with finite-dimensional co-efficient spaces. We show that the Taylor spectrum can be described in terms of the approximate zero set of the annihi-lator ideal, and in terms of the pointwise behavior of the inner multiplier associated with the quotient tuple.(c) 2023 Elsevier Inc. All rights reserved.

Automated summary

We investigate the Taylor spectra of quotient tuples of the d-shift on Drury-Arveson spaces with finite-dimensional coefficient spaces. We demonstrate that the Taylor spectrum can be characterized by the approximate zero set of the annihilator ideal and the pointwise behavior of the inner multiplier associated with the quotient tuple.