Some sequence spaces and completeness of normed spaces

Kama, Ramazan and Altay, Bilal

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In this paper we introduce new sequence spaces obtained by series in normed spaces and Ces\’aro summability method. We prove that completeness and barrelledness of a normed space can be characterized by means of these sequence spaces. Also we establish some inclusion relationships associated with the aforementioned sequence spaces.

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Altay, Bilal, Kama, Ramazan