3 papers
math.RT2026
Inner Products and Banach Algebra structures on Bicomplex Numbers and Their Associated Spaces
Prabhat Kumar, Fahed Zulfeqarr, Amit Ujlayan +2
In this paper, we introduce various types of inner products and norms on the bicomplex number system , the bicomplex vector space , the space of b…
math.RT2025
Idempotent & Nilpotent Operators and Matrices in Bicomplex Space
Anjali Anjali, Akhil Prakash, Amita Amita +1
This paper explores idempotent and nilpotent operators in bicomplex spaces, focusing on their properties and behavior. We define idempotent and nilpotent matrices in this framework…
math.RT2025
A New Perspective on Eigenvalues and Eigenvectors of Bicomplex Linear Operators
Anjali Anjali, Akhil Prakash, Amita +1
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 eige…