4 papers
2-Normed D-Modules and Hahn-Banach Theorem for D-linear 2-functionals
Kulbir Singh, Romesh Kumar
In this paper we introduce the notion of D-valued 2-norm on hy- perbolic or D-valued modules. Further, we define D-linear 2-functional on these modules and consider some of their p…
Maximal Ideals in a Bicomplex Algebra and Bicomplex Gelfand-Mazur Theorem
Kulbir Singh, Romesh Kumar
In this paper we study the maximal ideals in a commutative ring of bicomplex numbers and then we describe the maximal ideals in a bicomplex algebra. We found that the kernel of a n…
Bicomplex Weighted Hardy Spaces and Bicomplex C*-algebras
Romesh Kumar, Kulbir Singh, Heera Saini +1
In this paper we study the bicomplex version of weighted Hardy spaces. Further, we describe reproducing kernels for the bicomplex weighted Hardy spaces. In particular, we generaliz…
Bicomplex Linear Operators on Bicomplex Hilbert Spaces and Littlewood's Subordination Theorem
Romesh Kumar, Kulbir Singh
In this paper we study some basic properties of bicomplex linear operators on bicomplex Hilbert spaces. Further we discuss some applications of Hahn-Banach theorem on bicomplex Ban…