Title of article :
Continuity of linear maps on -spaces
Author/Authors :
Castillo، نويسنده , , Jesْs M.F. and Gonzلlez، نويسنده , , Manuel، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2012
Abstract :
We present a characterization of L 1 -spaces in terms of the continuity of c 0 -valued linear maps on dense subspaces. This provides a complete solution to a question investigated by Bogachev, Kircheim, Schachermayer and Shkarin.
Keywords :
Linear non-continuous maps , Banach spaces , Extension of operators
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications