arXiv:1105.3747 Abstract | arXiv Analytics

arXiv:1105.3747 [math.FA]Abstract References Reviews Resources

On some properties of new paranormed sequence space of non-absolute type

Vatan Karakaya, Necip Simsek, Harun Polat

Published 2011-05-18Version 1

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.

Comments: 8 pages

Categories: math.FA

Subjects: 46A45, 40H05, 46B45

Keywords: paranormed sequence space, non-absolute type, generalized sequence space, inclusion relations, matrix transformations

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