2016/10/03 by Sadr, Maysam Maysami
#39B52 #47A05 #47A62 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1610.00423
Let E,F be Banach spaces. In the case that F is reflexive we give a description for the solutions (f,g) of the Banach-orthogonality equation ⟨ f(x),g(α)⟩=⟨ x,α⟩\hspace10mm∀ x∈ E,∀ α∈ E^*, where f:E→ F,g:E^*→ F^* are two maps. Our result generalizes the recent result of Łukasik and Wójcik in the case that E and F are Hilbert spaces.