Abstract

ABSTRACTLet H be a complex Hilbert space and let be an n-tuple of self-adjoint operators on H. The joint numerical range of is the setBy a result of Li and Poon, the closure of , denoted by , is star-shaped with each point in the joint essential numerical range of a star centre. In this note, we give a few observations about the boundary of and basing on their results.

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