Bounds for the $p$-angular distance and characterizations of inner product spaces

Mario Krnic, Nicusor Minculete

Based on a suitable improvement of a triangle inequality, we derive new mutual bounds for $p$-angular distance $α_p[x,y]=\big\Vert \Vert x\Vert^{p-1}x- \Vert y\Vert^{p-1}y\big\Vert…