An operator extension of the parallelogram law and related norm inequalities
An operator extension of the parallelogram law and related norm inequalities
We establish a general operator parallelogram law concerning a characterization of inner product spaces, get an operator extension of Bohr's inequality and present several norm inequalities.More precisely, let A be a C * -algebra, T be a locally compact Hausdorff space equipped with a Radon measure μ and let (A …