The paper characterizes Birkhoff-James orthogonality of bilinear operators via norm attainment sets in finite dimensions and gives a complete characterization of the norm attainment set using semi-inner-products in general dimensions.
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Smoothness and norm attainment of bounded bilinear operators between Banach spaces
The paper characterizes Birkhoff-James orthogonality of bilinear operators via norm attainment sets in finite dimensions and gives a complete characterization of the norm attainment set using semi-inner-products in general dimensions.