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The numerical range of positive operators on Hilbert lattices
Authors:Agnes Radl
Institution:1. Institute of Mathematics, University of Bern, Sidlerstrasse 5, 3012, Bern, Switzerland
Abstract:We show symmetry properties of the numerical range of positive operators on Hilbert lattices. These results generalise the respective properties for positive matrices shown in Li et al. (Linear Algebra Appl 350:1–23, 2002) and Maroulas et al. (Linear Algebra Appl 348:49–62, 2002). Similar assertions are also valid for the block numerical range of positive operators.
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