Spectra of Quotient Modules
Functional Analysis
2023-06-06 v1
Abstract
We determine the Taylor spectra of quotient tuples of the -shift on Drury-Arveson spaces with finite-dimensional coefficient spaces. We show the the Taylor spectrum can be described in terms of the approximate zero set of the annihilator ideal, and in terms of the pointwise behavior of the inner multiplier associated with the quotient tuple.
Keywords
Cite
@article{arxiv.2306.02997,
title = {Spectra of Quotient Modules},
author = {Michael Didas and Jörg Eschmeier and Michael Hartz and Marcel Scherer},
journal= {arXiv preprint arXiv:2306.02997},
year = {2023}
}
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11 pages