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

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

2011-05-18

arxiv.org/abs/1105.3747v1

Mathematics

Functional Analysis

8 pages

Scientific paper

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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