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.
@article{119144,
author = {T. S. S. R. K. Rao},
title = {Boundedness of linear maps},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {41},
year = {2000},
pages = {107-110},
zbl = {1040.46016},
mrnumber = {1756930},
language = {en},
url = {http://dml.mathdoc.fr/item/119144}
}
Rao, T. S. S. R. K. Boundedness of linear maps. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) pp. 107-110. http://gdmltest.u-ga.fr/item/119144/
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