Computing the q-Numerical Range of Differential Operators

Abstract

A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of thez Hilbert space. In this paper, we establish an approximation of the - numerical range of bounded and unbounnded operator matrices by variational methods. Application to SchrA¶dinger operator, Stokes operator, and Hain-LA¼st operator is given.