Computing the q -Numerical Range of Differential Operators

Ahmed Abdul-Muttalib Muhammad, Faiza Abdullah Shareef · Journal of Applied Mathematics · 2020

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 q -numerical range of bounded and unbounnded operator matrices by variational methods. Application to Schrödinger operator, Stokes operator, and Hain-Lüst operator is given.

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