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6 papers · 1 filter
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…
Infinite Dimensional Bicomplex Spectral Decomposition Theorem
Kuldeep Singh Charak, Ravinder Kumar, Dominic Rochon
This paper presents a bicomplex version of the Spectral Decomposition Theorem on infinite dimensional bicomplex Hilbert spaces. In the process, the ideas of bounded linear operator…
Bicomplex Riesz-Fischer Theorem
K. S. Charak, R. Kumar, D. Rochon
This paper continues the study of infinite dimensional bicomplex Hilbert spaces introduced in previous articles on the topic. Besides obtaining a Best Approximation Theorem, the ma…
Boundedness, compactness and Schatten-class membership of weighted composition operators
Eva A. Gallardo-Gutiérrez, Romesh Kumar, Jonathan R. Partington
The boundedness and compactness of weighted composition operators on the Hardy space of the unit disc is analysed. Particular reference is made to the case when th…
Weighted composition operators on weighted Bergman spaces of bounded symmetric domains
Sanjay Kumar, Kanwar Jatinder Singh
In this paper, we study the weighted compositon operators on weighted Bergman spaces of bounded symmetric domains. The necessary and sufficient conditions for a weighted compositio…
Matrix multiplication operators on Banach function spaces
H Hudzik, Rajeev Kumar, Romesh Kumar
In this paper, we study the matrix multiplication operators on Banach function spaces and discuss their applications in semigroups for solving the abstract Cauchy problem.