Kato's Inequality for Magnetic Relativistic Schrödinger Operators

Abstract

Kato's inequality is shown for the magnetic relativistic Schrödinger operator $H_{A,m}$ defined as the operator theoretical square root of the selfadjoint, magnetic nonrelativistic Schrödinger operator $(-i\nabla -A(x){)}^2+m^2$ with an $L_{\mathrm{loc}}^2$ vector potential $A(x)$.