A New Perspective on Eigenvalues and Eigenvectors of Bicomplex Linear Operators
Representation Theory
2025-03-25 v1 Complex Variables
Rings and Algebras
Abstract
This paper deals with eigenvalues and eigenvectors of bicomplex linear operators defined on bicomplex space. We investigate the properties of these operators in the context of eigenvalues and eigenvectors, along with some relevant theorems. Several theorems are explored to establish conditions for bicomplex eigenvalues and eigenvectors. Additionally, we examine the structure of the eigenspaces corresponding to these eigenvalues,analyze their properties, and discuss relevant theorems.
Cite
@article{arxiv.2503.18020,
title = {A New Perspective on Eigenvalues and Eigenvectors of Bicomplex Linear Operators},
author = {Anjali Anjali and Akhil Prakash and Amita and Prabhat Kumar},
journal= {arXiv preprint arXiv:2503.18020},
year = {2025}
}