Some New Generalized Difference Spaces of Nonabsolute Type Derived from the Spaces lp and l?

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Tarih

2013

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Yayıncı

Hindawi Ltd

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We introduce the sequence space l(p)(lambda)(B) of none absolute type which is a p-normed space and BK space in the cases 0 < p < 1 and 1 <= p <= infinity , respectively, and prove that l(p)(lambda) (B) and l(p) are linearly isomorphic for 0 < 8. Furthermore, we give some inclusion relations concerning the space l(p)(lambda)(B) and we construct the basis for the space l(p)(lambda) (B), where 1 <= p <= infinity. Furthermore, we determine the alpha-, beta- and gamma-duals of the space l(p)(lambda) (B) for 1 <= p <= infinity. Finally, we investigate some geometric properties concerning Banach-Saks type p and give Gurarii's modulus of convexity for the normed space l(p)(lambda)(B)

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Anahtar Kelimeler

[Keyword Not Available]

Kaynak

Scientific World Journal

WoS Q Değeri

Q2

Scopus Q Değeri

Q2

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