Certain Sequence Spaces over the Non-Newtonian Complex Field

Sebiha Tekin and Feyzi Başar

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

Abstract:

It is known from functional analysis that in classical calculus, the sets , , , and of all bounded, convergent, null and -absolutely summable sequences are Banach spaces with their natural norms and they are complete according to the metric reduced from their norm, where . In this study, our main goal is to construct the spaces , , , and over the non-Newtonian complex field and to obtain the corresponding results for these spaces, where .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:739319

DOI: 10.1155/2013/739319

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