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On Certain Sequence Spaces

Published online by Cambridge University Press:  20 November 2018

H. Kizmaz
H. Kizmaz*
Affiliation:
K.T.U., Matematik Bölümü, Trabzon, Turkey
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Abstract

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In this paper define the spaces l∞(Δ), c(Δ), and c0(Δ), where for instance l∞(Δ) = {x=(xk):supk |xk -xk + l|< ∞}, and compute their duals (continuous dual, α-dual, β-dual and γ-dual). We also determine necessary and sufficient conditions for a matrix A to map l∞(Δ) or c(Δ) into l∞ or c, and investigate related questions.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 2 , 01 June 1981 , pp. 169 - 176
Copyright
Copyright © Canadian Mathematical Society 1981

References

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