engleski

Orthogonality in M_n(C) and geometry of the numerical range

In this talk, we consider two types of orthogonality in the space of all complex matrices of order n. These are Birkhoff–James and Roberts orthogonality. Some geometric properties of the (generalized) numerical range of a matrix are described in terms of these orthogonalities.

Birkhoff-James orthogonality ; Roberts orthogonality ; numerical range

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