INTEGRATED RATE SPACE ∫ ℓπ

Title & Authors
INTEGRATED RATE SPACE ∫ ℓπ
Subramanian, N.; Rao, K. Chandrasekhara; Gurumoorthy, N.;

Abstract
This paper deals with the BK-AK property of the integrated rate space $\small{{\int}{\ell}_{\pi}}$. Importance of $\small{{\delta}^{(k)}}$ in this content is pointed out. We investigate a determining set for the integrated rate space $\small{{\int}{\ell}_{\pi}}$. The set of all infinite matrices transforming $\small{{\int}{\ell}_{\pi}}$, into BK-AK space Y is denoted $\small{({\int}{\ell}_{\pi}:\;Y)}$. We characterize the classes $\small{({\int}{\ell}_{\pi}:\;Y)}$. When \$Y
Keywords
BK-AK spaces;absolutely convexhull;determining set;
Language
English
Cited by
References
1.
G. Goes and S. Goes, Sequences of bounded variation and sequences of Fourier coefficients. I, Math. Z. 118 (1970), 93-102

2.
E. Jurimae, Properties of domains of matrix mappings on rate-spaces and spaces with speed, Tartu VI. Toimetised No. 970 (1994), 53-64

3.
A. Wilansky, Functional analysis, Blaisdell Publishing Co. Ginn and Co., New YorkToronto-London, 1964

4.
A. Wilansky, Summability through functional analysis, North-Holland Mathematics Studies, 85. Notas de Matematica [Mathematical Notes], 91. North-Holland Publishing Co., Amsterdam, 1984