T.S.S.R.K. Rao
Boundedness of linear maps

Comment.Math.Univ.Carolinae 41,1 (2000) 107-110.

Abstract:In this short note we consider necessary and sufficient conditions on normed linear spaces, that ensure the boundedness of any linear map whose adjoint maps extreme points of the unit ball of the domain space to continuous linear functionals.

Keywords: bounded linear maps, extreme points, barrelled spaces
AMS Subject Classification: 46B20