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In this article we introduce tribonacci sequence spaces $c_0(T)$ and $c(T)$ derived by the domain of a newly defined regular tribonacci matrix $T.$ We give some topological properties, inclusion relations, obtain the Schauder basis and determine $\alpha-,$ $\beta-$ and $\gamma-$ duals of the spaces $c_0(T)$ and $c(T).$ We characterize certain matrix classes $(c_0(T), Y)$ and $(c(T),Y),$ where $Y$ is any of the spaces $c_0, c$ or $\ell_{\infty}.$ Finally, using Hausdorff measure of non-compactness we characterize certain class of compact operators on the space $c_0(T).$
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참고문헌 (51)
참고문헌 신청
M. Alotaibi / 2015 / Compact operators on some Fibonacci difference sequence spaces / J. Inequal. Appl 2015:203
B. Altay / 2005 / On some Euler sequence spaces of nonabsolute type / Ukranian Math. J 57:1~17
B. Altay / 2006 / Some paranormed Riesz sequence spaces of non-absolute type / Southeast Asian Bull. Math 30(4):591~608
B. Altay / 2006 / On the Euler sequence spaces which include the spaces ℓp and ℓ∞ I / Inf. Sci 176:1450~1462
F. Basar / 2003 / On the space of sequences of p-bounded variation and related matrix map-pings / Ukrainian Math. J 55(1):136~147
B. Altay / 2005 / On some Euler sequence spaces of nonabsolute type / Ukranian Math. J 57:1~17
B. Altay / 2006 / Some paranormed Riesz sequence spaces of non-absolute type / Southeast Asian Bull. Math 30(4):591~608
B. Altay / 2006 / On the Euler sequence spaces which include the spaces ℓp and ℓ∞ I / Inf. Sci 176:1450~1462
F. Basar / 2003 / On the space of sequences of p-bounded variation and related matrix map-pings / Ukrainian Math. J 55(1):136~147
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