EULER-CES`ARO DIFFERENCE SPACES OF BOUNDED, CONVERGENT AND NULL SEQUENCES

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題名:	EULER-CES`ARO DIFFERENCE SPACES OF BOUNDED, CONVERGENT AND NULL SEQUENCES
作者:	Feyzi Basar, Naim L. Braha
關鍵詞:	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
日期:	2016-12
上傳時間:	2017-01-17 09:17:13 (UTC+8)
出版者:	淡江大學出版中心
摘要:	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).
關聯:	Tamkang Journal of Mathematics 47(4), pp.405-420
DOI:	10.5556/j.tkjm.47.2016.2065
顯示於類別:	[淡江數學期刊] 第47卷第4期

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