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- W1963830365 abstract "In the literature it is known that the decomposable numerical range of is not necessarily convex. But it is not known whether is star-shaped. We construct a symmetric unitary matrix such that the decomposable numerical range is not star-shaped and hence not simply connected. We then consider a real analog and show that is star-shaped if is skew symmetric. Such a star-shapedness result is also true for the Pfaffian numerical range ." @default.
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- W1963830365 date "2009-07-01" @default.
- W1963830365 modified "2023-09-27" @default.
- W1963830365 title "Pfaffian and decomposable numerical range of a complex skew symmetric matrix" @default.
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- W1963830365 doi "https://doi.org/10.1080/03081080902899077" @default.
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