Characterizations of Birkhoff Orthogonality in Banach Space
Denghua Zhang · Shuxue de shijian yu renshi · 2008
We discuss some propositions of a to be orthogonal to b in the sense of Birkhoff in a Banach space X.And we give the relations of B-orthogonality with linear functional,then use linear functional to discuss Gateaux differentiability,convexity and reflexivity in a Banach space.Last,we define B-complementary subspace,and dicuss some propositions of it.