A note on operators from Köthe function spaces to $c_0(\Gamma)$

I.V. Krasikova; M.M. Popov

A note on operators from Köthe function spaces to $c_0(\Gamma)$

Authors

I.V. Krasikova Zaporizhzhya National University, 66 Zukovs'koho str., 69600, Zaporizhzhya, Ukraine
M.M. Popov Yuriy Fedkovych Chernivtsi National University, 2 Kotsjubynskyi str., 58012, Chernivtsi, Ukraine

Keywords:

Köthe space, narrow operator, codimension of a subspace, weakly compact set, boundary point of a set

Published online: 2012-06-28

Abstract

It is well known that every operator from $E = L_p$ , $1 \leq p < \infty$ to $c_0$ is narrow. We show that this result can be extended to a more general class of Köthe function spaces $E$ .