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arXiv · 2602.15302

Clifford spectrum of three 2 by 2 matrices

Alexander Cerjan·Vasile Lauric·Terry A. Loring
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Abstract

We prove that the Clifford spectrum associated to three 2 by 2 matrices is nonempty. The structure of Clifford is described in terms "moving" level curves. We discuss some implication of a conjecture formulated for arbitrary size n by n of three matrices and give an example in the case of three self-adjoint operators in the infinite dimensional Hilbert space.

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Alexander Cerjan, Vasile Lauric, Terry A. Loring. 2026-02-17. Clifford spectrum of three 2 by 2 matrices. https://arxiv.org/abs/2602.15302

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