[Banach] Abstract of a paper by Maysam Maysami Sadr

This is an announcement for the paper “Decomposition of functions between Banach spaces in the orthogonality equation” by Maysam Maysami Sadrhttps://arxiv.org/find/math/1/au:+Sadr_M/0/1/0/all/0/1.

Abstract: 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 $$\langle f(x), g(\alpha) \rangle=\langle x, \alpha \rangle, \forall x\i E, \alpha\in E^*$$, where $f: E\rightarrow F, g: E^*\rightarrow F^*$ are two maps. Our result generalizes the recent result of {\L}ukasik and W'{o}jcik in the case that $E$ and $F$ are Hilbert spaces.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1610.00423