Abstract
In this paper, complete characterizations of left (or right) symmetric points for strong Birkhoff orthogonality in B(mathcal {H},mathcal {K}) and K(mathcal {H},mathcal {K}) are given, where mathcal {H},mathcal {K} are complex Hilbert spaces and B(mathcal {H},mathcal {K}) (K(mathcal {H},mathcal {K})) is the space of all bounded linear (compact) operators from mathcal {H} into mathcal {K}.
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