Some Topological and Geometrical Properties of a New Difference Sequence Space

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Tarih

2011

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Yayıncı

Hindawi Publishing Corporation

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We introduce the new difference sequence space a(p)(r)(Delta). Further, it is proved that the space a(p)(r)(Delta) is the BK-space including the space bv(p), which is the space of sequences of pbounded variation. We also show that the spaces a(p)(r)(Delta), and l(p) are linearly isomorphic for 1 <= p < infinity. Furthermore, the basis and the alpha-, beta-and gamma-duals of the space a(p)(r)(Delta) are determined. We devote the final section of the paper to examine some geometric properties of the space a(p)(r)(Delta).

Açıklama

Anahtar Kelimeler

Include, L(P)

Kaynak

Abstract and Applied Analysis

WoS Q Değeri

Q1

Scopus Q Değeri

Q4

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