Some Topological and Geometrical Properties of a New Difference Sequence Space | Zendy

Serkan Demiriz | Zendy; Celal Çakan | Zendy

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Some Topological and Geometrical Properties of a New Difference Sequence Space

Author(s) -

Serkan Demiriz,

Celal Çakan

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/213878

Subject(s) - mathematics , space (punctuation) , sequence space , zero dimensional space , sequence (biology) , basis (linear algebra) , section (typography) , pure mathematics , dual polyhedron , topology (electrical circuits) , topological space , combinatorics , geometry , topological vector space , computer science , banach space , biology , genetics , operating system

We introduce the new difference sequence space (Δ) . Further, it isproved that the space (Δ) is the BK-space including the space , which is the space of sequences of pboundedvariation. We also show that the spaces (Δ), and ℓ are linearly isomorphic for 1≤<∞. Furthermore, the basis and the -, - and -duals of the space (Δ) are determined. We devotethe final section of the paper to examine some geometric properties of the space (Δ)

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