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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Radl, A. The numerical range of positive operators on Hilbert lattices. Integr. Equ. Oper. Theory 75, 459–472 (2013). https://doi.org/10.1007/s00020-013-2032-x
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DOI: https://doi.org/10.1007/s00020-013-2032-x