Banach spaces which embed into their dual
Volume 125 / 2011
Colloquium Mathematicum 125 (2011), 289-293
MSC: Primary 52A01; Secondary 46L36.
DOI: 10.4064/cm125-2-11
Abstract
We use Birkhoff–James' orthogonality in Banach spaces to provide new conditions for the converse of the classical Riesz representation theorem.