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On β-dual of vector-valued sequence spaces of Maddox
International Journal of Mathematics and Mathematical Sciences, 2002 The β-dual of a vector-valued sequence space is defined and studied. We show that if an X-valued sequence space E is a BK-space having AK property, then the dual space of E and its β-dual are isometrically isomorphic.
Suthep Suantai, Winate Sanhan
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On paranormed Ideal convergent sequence spaces defined by Jordan totient function
Journal of Inequalities and Applications, 2021 The study of sequence spaces and summability theory has been an important aspect in defining new notions of convergence for the sequences that do not converge in the usual sense.
Vakeel A. Khan, Umme Tuba
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An Extension of Maddox’s Paranormed Sequence Spaces with Narayana Numbers
Journal of New Results in ScienceThis study focuses on constructing an extended version of Maddox’s paranormed sequence spaces, denoted by $c_0(N, p)$, $c(N, p)$, $\ell_\infty(N, p)$, and $\ell(N, p)$. The study aims to define and investigate the characteristics of these sequence spaces, along with their paranormed extensions.
Hacer Bilgin Ellidokuzoğlu +1 more
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Matrix Transformations between the Sequence Spaces of Maddox
Journal of Mathematical Analysis and Applications, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Grosse-Erdmann
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The Structure of the Sequence Spaces of Maddox
Canadian Journal of Mathematics, 1992 AbstractThe sequence of spaces of Maddox, c0(p), c(p)and l∞(p), are investigated. Here, p — (pk) is a bounded sequence of strictly positive numbers. It is observed that C0(P) is an echelon space of order 0 and that l∞(p) is a co-echelon space of order ∞, while clearly c(p) = c0(p) ⊗ 〈 (1,1,1,…) 〉.
null Karl-Goswin, null Grosse-Erdmann
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A study of certain sequence spaces of Maddox and a generalization of a theorem of Iyer [PDF]
Pacific Journal of Mathematics, 1971 C. G. Lascarides
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On some new matrix transformations [PDF]
, 2013 Drawing of Object No ...
Rahmet Savaş, Ekrem Savaş
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Matrix transformations of double convergent sequences with powers [PDF]
Proceedings of the Estonian Academy of SciencesIn 1967, I. J. Maddox generalized the spaces c0, c, ââ by adding the powers pk (k â â) in the definitions of the spaces to the terms of elements of sequences (xk). Gökhan and Ãolak in 2004â2006 defined the corresponding double sequence spaces
Maria Zeltser, Şeyda Sezgek
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Some new lacunary $f$-statistical $A$-convergent sequence spaces of order $\alpha$ [PDF]
, 2015 We study the concept of density for sets of natural numbers in some lacunary $A$-convergent sequence spaces. Also we are trying to investigate some relation between the ordinary convergence and module statistical convergence for evey unbounded modulus ...
Borgohain, Stuti, Savas, Ekrem
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