Browse > Article

SECTIONAL ANALYTICITY IN SEQUENCE SPACES  

Balasubramanian, T. (DEPARTMENT OF MATHEMATICS, KAMARAJ COLLEGE)
Pandiarani, A. (DEPARTMENT OF MATHEMATICS, G. VENGADASWAMY NAIDU COLLEGE)
Chelvam, T. Tamizh (DEPARTMENT OF MATHEMATICS, MANOMANIAM SUNDARANAR UNIVERSITY)
Publication Information
The Pure and Applied Mathematics / v.17, no.2, 2010 , pp. 151-156 More about this Journal
Abstract
The object of the present paper is to introduce ${\Lambda}$-dual and the concept of sectional analyticity (Abschinitts-anatytique or AA property) of an FK-space.The motivation for AA-property is that a sequence space having AK-property possess AA-property.
Keywords
analytic sequence; AK space; BK space; FK space;
Citations & Related Records
연도 인용수 순위
  • Reference
1 K. Chandrasekhara Rao & T. Balasubramanian: Some classes of entire sequences. J. Ramanujan Math. Soc. 11 (1996), no. 2, 145-159.
2 V. Ganapathy Iyer: On the space of Integral functions. I. Journal of Indian Math. Soc. 12 (1948,) 13-30.
3 D.J.H. Garling: The $\beta$ and $\gamma$-duality of sequence spaces. Proc. Camb. Phil. Soc. 63 (1967), 963-981   DOI
4 G. Goes: Complementary spaces of Fourier coeffcients, convolutions and generalized Matrix transformations and operators between BX-Spaces. J. Math. Mech. 10 (1961), 135-137.
5 P.K. Kamthan: Bases in a certain class of Freshet space. Tamkang J. Math. 7 (1976), 41-49.
6 H.R. Chillingworth: Generalized `dual' sequence spaces. Nederl. Akad. Wetensch. Indag. Math. 20 (1958), 307-315.
7 G. Kothe: Topologiche Lineare Raume. I, 1st edn, Berlin, Heidelberg, New York: Springer 1960.
8 M.K. Sen: On a class of entire functions. Bull Cal. Math. Soc. 61 (1969), 67-74.
9 A. Wilansky: Summability through Functional Analysis. North Holland, Amsterdam, 1984.
10 G. Kothe & O. Toeplitz: Lineare Raume mit unendlichvislen Koordinaten und Ringe unendlicher Matrizen. J. fur. Math. 171 (1934), 193-226.