A note on operators from K"{o}the function spaces to $c_0(Gamma)$

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 beextended to a more general class of K"{o}the function spaces$E$.

Bibliographic Details
Main Authors: Krasikova I.V., Popov M.M.
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2012-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/87/76
Description
Summary: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 beextended to a more general class of K"{o}the function spaces$E$.
ISSN:2075-9827