ON A GENERALIZED DIFFERENCE SEQUENCE SPACES OVER NON-ARCHIMEDIAN FIELDS AND RELATED MATRIX TRANSFORMATIONS

Title & Authors
ON A GENERALIZED DIFFERENCE SEQUENCE SPACES OVER NON-ARCHIMEDIAN FIELDS AND RELATED MATRIX TRANSFORMATIONS
BATAINEH AHMAD H. A.; AL-ZA`AREER HAMZA B.;

Abstract
Let F be a non-trivial non-Archimedian field. The sequence spaces $\small{\Gamma\;(F)\;and\;{\Gamma}^{\ast}(F)}$ were defined and studied by Soma-sundaram[4], where these spaces denote the spaces of entire and analytic sequences defined over F, respectively. In 1997, these spaces were generalized by Mursaleen and Qamaruddin[1] by considering an arbitrary sequence \$U\;
Keywords
difference sequence spaces;non-Archimedian field;matrix transformations;
Language
English
Cited by
References
1.
M. Mursaleen and Qamaruddin, Some new sequence spaces over non-Archimedian fields and their matrix transformations, Bull. Calcutta Math. Soc. 89 (1997), 81-86

2.
S. Nanda, Some topological vector spaces over valued fields, Bull. Inst. Math. Acad. Sinica 9 (1981), no. 4, 461-467

3.
S. M. Sirajudeen and A. Sulaiman, Inclusion theorems of some sequence spaces over non-Archimedian fields, Indian J. Pure Appl. Math. 26 (1995), no. 5, 445-449

4.
D. Somasundaram, Inclusion theorems on matrix transformation of some sequence spaces over non-Archimedian fields, Boll. Unione Mat. Ital. 6 (1970), 935-960

5.
D. Somasundaram, Inclusion theorems on matrix transformation of some sequence spaces over non-Archimedian fields II, Indian J. Pure Appl. Math. 5 (1974), 327-332