We use Birkhoff-James' orthogonality in Banach spaces to provide new conditions for the converse of the classical Riesz representation theorem.
Capraro, V., Rossi, S. (2011). Banach spaces which embed into their dual. COLLOQUIUM MATHEMATICUM, 125(2), 289-293 [10.4064/cm125-2-11].
Banach spaces which embed into their dual
Capraro, V;
2011
Abstract
We use Birkhoff-James' orthogonality in Banach spaces to provide new conditions for the converse of the classical Riesz representation theorem.
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