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Generalization of the sequence space derived by weighted mean
- Source :
-
Journal of Mathematical Analysis & Applications . Jun2007, Vol. 330 Issue 1, p174-185. 12p. - Publication Year :
- 2007
-
Abstract
- Abstract: The sequence space was introduced and studied by Maddox [I.J. Maddox, Spaces of strongly summable sequences, Quart. J. Math. Oxford (2) 18 (1967) 345–355]. In the present paper, the sequence spaces of non-absolute type which is derived by the generalized weighted mean is defined and proved that the spaces and are linearly isomorphic. Besides this, the β- and γ-duals of the space are computed and the basis of that space is constructed. Further, it is established that the sequence space has AD property and given f-dual of the space . Finally, the matrix mappings from the sequence spaces to the sequence space μ and from the sequence space μ to the sequence space are characterized. [Copyright &y& Elsevier]
- Subjects :
- *SEQUENCE spaces
*VECTOR topology
*MATHEMATICS
*MATRICES (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 330
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 24049184
- Full Text :
- https://doi.org/10.1016/j.jmaa.2006.07.050