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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/109345

    Authors: Feyzi Basar, Naim L. Braha
    Keywords: Composition of summability methods;Ces\`{a}ro mean of order one;Euler mean of order one;backward difference operator;sequence space;BK space;Schauder basis;Köthe-Toeplitz duals;matrix transformations
    Date: 2016-12
    Issue Date: 2017-01-17 09:17:13 (UTC+8)
    Publisher: 淡江大學出版中心
    Abstract: In this paper, we introduce the spaces ℓ˘∞ℓ˘∞, c˘c˘ and c˘0c˘0 of Euler-Ces`aro bounded, convergent and null difference sequences and prove that the inclusions ℓ∞⊂ℓ˘∞ℓ∞⊂ℓ˘∞, c⊂c˘c⊂c˘ and c0⊂c˘0c0⊂c˘0 strictly hold. We show that the spaces c˘0c˘0 and c˘c˘ turn out to be the separable BK spaces such that c˘c˘ does not possess any of the following: AK property and monotonicity. We determine the alpha-, beta- and gamma-duals of the new spaces and characterize the matrix classes (c˘:ℓ∞)(c˘:ℓ∞), (c˘:c)(c˘:c) and (c˘:c0)(c˘:c0).
    Relation: Tamkang Journal of Mathematics 47(4), pp.405-420
    DOI: 10.5556/j.tkjm.47.2016.2065
    Appears in Collections:[Tamkang Journal of Mathematics] v.47 n.4

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