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Section B

A numerical investigation of the quadratic numerical range of Hain-Lüst operators

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Pages 2431-2451 | Received 30 Oct 2012, Accepted 21 Feb 2013, Published online: 01 Jul 2013
 

Abstract

The quadratic numerical range (QNR) was introduced by Langer and Tretter [Spectral decomposition of some non-self-adjoint block operator matrices, J. Oper. Theory 39 (1998), pp. 339–359] as a tool for estimating the spectra of operators which admit a natural block matrix representation with respect to a decomposition of the underlying Hilbert space. We consider the problem of computing the QNR numerically for block differential operators, particularly these of Hain-Lüst type and Stokes type.

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