On some new generalized sequence spaces
نویسندگان
چکیده
منابع مشابه
On Some Generalized Difference Sequence Spaces
The main aim of this article is to introduce a new class of difference sequence spaces associated with a multiplier sequence which are isomorphic with the classical spaces c0, c and ∞ respectively and investigate some algebraic and topological structures of the spaces. Mathematics Subject Classification: 40A05, 40C05, 46A45
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Abstract The sequence spaces c0 , c and `∞ have been recently introduced and studied by Mursaleen and Noman [On the spaces of λ− convergent and bounded sequences, Thai J. Math. 8(2)(2010),311-329]. The main purpose of the present paper is to extend the results of Mursaleen and Noman to the paranormed case and is to work the spaces c0(u, p), c(u, p) and `∞(u, p). Let μ denote any of the spaces c...
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We obtain some topological results of the sequence spaces ∆m(X), where ∆m(X) = {x = (xk) : (∆xk) ∈ X}, (m ∈ N), and X is any sequence space. We compute the pα-, pβ-, and pγ-duals of l∞,c, and c0 and we investigate the N-(or null) dual of the sequence spaces ∆m(l∞),∆m(c), and ∆(c0). Also we show that any matrix map from ∆m(l∞) into a BK-space which does not contain any subspace isomorphic to ∆m(...
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We define a generalized Cesáro sequence space and consider it equipped with the Luxemburg norm under which it is a Banach space, and we show that it is locally uniformly rotund. 2000 Mathematics Subject Classification: 46E30, 46E40, 46B20.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2003
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(02)00619-4