A study of paranormed sequence space defined by Motzkin matrix
Authors
T. A. Malik
- Department of Mathematics, Govt. Boys Higher Secondary School, Darhal, Jammu and Kashmir-185135, India.
Abstract
The goal of this manuscript is to present the formulation of a novel regular matrix containing Motzkin numbers to obtain new paranormed sequence space \(\ell(\mathcal{M}, \mu, q)\) as the domain of Motzkin matrix on the space of absolutely \(p\)-summable sequences. Also, some topological properties and Schauder basis of the paranormed space \(\ell(\mathcal{M}, \mu, q)\) are introduced. Additionally, investigations have been made for computing their Kohe- Toeplitz dual, generalized Kothe-Toeplitz dual and Garling dual of the paranormed space \(\ell(\mathcal{M}, \mu, q)\). Finally, we emphasize on the characterization of certain matrix mappings from \(\ell(\mathcal{M}, \mu, q)\) into the classical sequence spaces.
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ISRP Style
T. A. Malik, A study of paranormed sequence space defined by Motzkin matrix, Journal of Nonlinear Sciences and Applications, 18 (2025), no. 3, 180--192
AMA Style
Malik T. A., A study of paranormed sequence space defined by Motzkin matrix. J. Nonlinear Sci. Appl. (2025); 18(3):180--192
Chicago/Turabian Style
Malik, T. A.. "A study of paranormed sequence space defined by Motzkin matrix." Journal of Nonlinear Sciences and Applications, 18, no. 3 (2025): 180--192
Keywords
- Motzkin numbers
- paranormed space
- Schauder basis
- matrix mappings
MSC
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