4 papers · 1 filter
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…
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…
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…
Matrix representations of linear transformations on bicomplex space
Anjali, Fahed Zulfeqarr, Akhil Prakash +1
An algebraic investigation on bicomplex numbers is carried out here. Particularly matrices and linear maps defined on them are discussed. A new kind of cartesian product, referred…