Angles, orthogonality, and Pythagorean theorem in Banach spaces with two related applications

Antonio Cicone, Stefano Serra-Capizzano, Giacomo Tento +1

In the current work, we propose a generalization of angles and orthogonality from $L^2$ to generic Banach spaces, starting from a $L^p$ version of the Pythagorean theorem, $p\in [1…