IJPAM: Volume 38, No. 2 (2007)

ON $\ell$-KÖTHE SPACES

Erdal Karapinar
Department of Mathematics
Izmir University of Economics
Izmir, 35530, TURKEY
e-mail: erdal.karapinar@ieu.edu.tr


Abstract.Let $\ell$ be a Banach sequence space with a monotone norm $\Vert \cdot \Vert_{\ell}$, in which the canonical system $(e_i)$ is a normalized symmetric basis. We consider this monotone norm and considered $\ell$-Köthe spaces which is generalization of usual Köthe spaces. In this study, we generalized some results in [#!Z_1996!#] and understood that they are valid also for $\ell$-Köthe spaces.

Received: April 18, 2007

AMS Subject Classification: 47A99

Key Words and Phrases: $\ell$-Köthe spaces, monotone norm

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 38
Issue: 2