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arXiv · 2306.02997

Spectra of Quotient Modules

Michael Didas·Jörg Eschmeier·Michael Hartz·Marcel Scherer
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Abstract

We determine the Taylor spectra of quotient tuples of the $d$-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.

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Michael Didas, Jörg Eschmeier, Michael Hartz, Marcel Scherer. 2023-06-05. Spectra of Quotient Modules. https://arxiv.org/abs/2306.02997

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