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arXiv · 2409.09038

Joint spectrum of matrix and operator tuples on spaces over bi complex numbers

Akshay Rane
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Abstract

In this paper, we generalize the notion of joint eigenvalues and joint spectrum of matrices and operator tupples on a bi complex Hilbert space. We observe that unlike the spectrum of a bounded operator on a bi complex Hilbert space is bounded. But this is not the case here. Even the set of joint eigenvalues of matrix tuples is unbounded.

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Akshay Rane. 2024-08-26. Joint spectrum of matrix and operator tuples on spaces over bi complex numbers. https://arxiv.org/abs/2409.09038

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