2011•arXiv (Cornell University)Open access
On some properties of new paranormed sequence space of non-absolute type
Vatan Karakaya, Necip Şi̇mşek, Harun Polat
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Abstract
In this work, we introduce some new generalized sequence space related to the space l(p). Furthermore we investigate some topological properties as the completeness, the isomorphism and also we give some inclusion relations between this sequence space and some of the other sequence spaces. In addition, we compute alpha-, beta- and gamma-duals of this space, and characterize certain matrix transformations on this sequence space.
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