17 citations · 18 across the 12 of their papers we have counts for
13 papers · 1 filter
Bicomplex Mergelyan's Approximation Theorem
Amjad Ali, Mohd Arif, Romesh Kumar
In this paper we prove Area theorem, Biebarbach`s Theorem, Koebe Quarter Theorem and Mergelyan`s Approximation Theorem in the bicomplex framework.
Expansivity Property for Composition Operators on Orlicz -Lorentz Spaces
Romesh Kumar, Rajat Singh
In this paper, we investige the concept of expansivity for composition operators on Orlicz-Lorentz spaces. We study necessary and sufficient conditions for expansivity, positive ex…
Li-Yorke Chaos for Composition operators on Orlicz-Lorentz spaces
Rajat Singh, Aditi Sharma, Romesh Kumar
In this paper, we study the Li-Yorke chaotic composition operators on Orlicz-Lorentz space. In fact, necessary and sufficient conditions are given for Li-Yorke chaotic composition…
Li-Yorke and Expansive Composition Operators on Lorentz Spaces
Romesh Kumar, Rajat Singh
In this paper, we investigate Li-Yorke composition operators and some of their variations on Lorentz spaces. Further, we also study expansive composition operators on these spaces.…
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…
Some Fundamental Theorems of Functional Analysis with Bicomplex and Hyperbolic Scalars
Heera Saini Aditi Sharma, Romesh Kumar
We discuss some properties of linear functionals on topological hyperbolic and topological bicomplex modules. The hyperbolic and bicomplex analogues of the uniform boundedness prin…