IJPAM: Volume 41, No. 5 (2007)

BANACH SPACE VALUED SEQUENCE SPACE $l_{M}(X,p)$

Vinod K. Bhardwaj$^1$, Indu Bala$^2$
$^{1,2}$Department of Mathematics
Kurukshetra University
Kurukshetra, 136 119, INDIA
$^1$e-mail: vinodk_bhj @rediffmail.com
$^2$e-mail: bansal_indu @rediffmail.com


Abstract.In this paper, we introduce the Banach space valued sequence space $l_{M}(X,p)$ and examine various algebraic and topological properties of this space. Finally we introduce and investigate some topological properties of a subspace of $l_{M}(X,p)$.

Received: June 13, 2007

AMS Subject Classification: 46B45, 46A45, 40A05

Key Words and Phrases: AK space, Banach space, Banach algebra, Orlicz function, paranorm, sequence space

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 41
Issue: 5