On Some Properties of New Paranormed Sequence Space of Nonabsolute Type
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 compu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/921613 |
| Summary: | 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 𝛼-, 𝛽-, and 𝛾-duals of this space and characterize
certain matrix transformations on this sequence space. |
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| ISSN: | 1085-3375 1687-0409 |