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Some properties of the quartic numerical range for 4x4 operator matrices

Hakimboy M. LatipovBukhara State University, Bukhara, Uzbekistan
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In the present paper we consider self-adjoint 4x4 operator matrices A. For some special cases the alternative formulas for the calculating the quartic numerical range of 4x4 operator matrices A are derived. Using the obtained alternative formula for the quartic numerical range of A we estimate the lower and upper bound of A.

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