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arXiv · 1911.00751

Surfaces and hypersurfaces as the joint spectrum of matrices

Patrick H. DeBonis·Terry A. Loring·Roman Sverdlov
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Abstract

The Clifford spectrum is an elegant way to define the joint spectrum of several Hermitian operators. While it has been know that for examples as small as three $2$-by-$2$ matrices the Clifford spectrum can be a two-dimensional manifold, few concrete examples have been investigated. Our main goal is to generate examples of the Clifford spectrum of three or four matrices where, with the assistance of a computer algebra package, we can calculate the Clifford spectrum.

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Patrick H. DeBonis, Terry A. Loring, Roman Sverdlov. 2019-11-02. Surfaces and hypersurfaces as the joint spectrum of matrices. https://arxiv.org/abs/1911.00751

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