Matrix transformations between the spaces of Cesàro sequences and invariant means
نویسندگان
چکیده
منابع مشابه
Matrix transformations between the spaces of Cesàro sequences and invariant means
Let ω be the space of all sequences, real or complex, and let l∞ and c, respectively, be the Banach spaces of bounded and convergent sequences x = (xn) with norm ‖x‖ = supk≥0 |xk|. Let σ be a mapping of the set of positive integers into itself. A continuous linear functional φ on l∞ is said to be an invariant mean or a σmean if and only if (i) φ(x) ≥ 0, when the sequence x = (xn) has xn ≥ 0 for...
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Let ω be the space of all sequences, real or complex, and let l∞ and c, respectively, be the Banach spaces of bounded and convergent sequences x = (xn) with norm ‖x‖ = supk≥0 |xk|. Let σ be a mapping of the set of positive integers into itself. A continuous linear functional φ on l∞ is said to be an invariant mean or a σmean if and only if (i) φ(x) ≥ 0, when the sequence x = (xn) has xn ≥ 0 for...
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Let 1 ≤ p <∞. We characterise the classes (X,Y ) of all infinite matrices that mapX into Y forX = w ∞(Λ) orX = w p 0(Λ) and Y = w 1 ∞(Λ ′), forX = w ∞(Λ) and Y = w ∞(Λ ′), and for X =Mp(Λ) and Y =M1(Λ), the β-duals of w ∞(Λ) and w ∞(Λ ′). As special cases, we obtain the characterisations of the classes of all infinite matrices that map w ∞ into w 1 ∞, and w p into w. Furthermore, we prove that ...
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چکیده ندارد.
on translation of phatic communion and socio-cultural relationships between the characters of the novels
phatic communion is a cultural concept which differs across cultures. according to hofstede (2001), the u.s. tends to have individualistic culture; however, asian countries tend to have collectivistic cultures. these cultures view phatic communion differently. in individualistic cultures like u.s., phatic communion reflects speakers’ socio-cultural relationships in conversations. to see whether...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2006
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms/2006/74319