The Cesaro-Gamma operator and its associated sequence space
| Autor: | Hadi Roopaei, Merve İlkhan Kara |
|---|---|
| Přispěvatelé: | [Belirlenecek] |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Algebra and Number Theory Mathematics::Dynamical Systems Matrix Operator (physics) Hilbert matrix Order (ring theory) Gamma matrices Operator theory Cesaro matrix L(P) Include Lambda Gamma matrix Combinatorics Matrix (mathematics) symbols.namesake Factorization Inequality symbols Domain Analysis Matrix operator |
| Popis: | In this paper, we introduce Cesaro–Gamma matrix that exhibits the structure of both the Cesaro and Gamma matrices. We study the domain of this new matrix in the space $$\ell _p$$ ( $$1\le p\le \infty$$ ). By this new matrix, we obtain a factorization for the infinite Hilbert matrix, based on the Cesaro matrix of order $$\lambda$$ , of the form $$H=B^\lambda C^\lambda$$ . As a second application of this operator, we obtain a factorization for the Cesaro matrix of order $$\lambda$$ of the form $$C^{\lambda +\tilde{\lambda }}=R^{\lambda , \tilde{\lambda }+1}C^{\tilde{\lambda }}$$ , which results in a factorization for the Cesaro matrices of the form $$C^\lambda =S^{\lambda ,\tilde{\lambda }} C^{\tilde{\lambda }}.$$ |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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