Duality Mapping and Birkhoff Orthogonality
T. Precupanu · Annals of the Alexandru Ioan Cuza University - Mathematics · 2013
Abstract. In this note we establish some properties of Birkhoff orthogonality in terms of duality mapping. Particularly, using a slight extension of a Rockafellar result we obtain a new proof of a result earlier established by Blanco and Turnšek concerning the linear operators preserving Birkhoff orthogonality.