Joint spectrum of matrix and operator tuples on spaces over bi complex numbers
Functional Analysis
2024-09-17 v1
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.
Keywords
Cite
@article{arxiv.2409.09038,
title = {Joint spectrum of matrix and operator tuples on spaces over bi complex numbers},
author = {Akshay Rane},
journal= {arXiv preprint arXiv:2409.09038},
year = {2024}
}