Orthogonalities, linear operators, and characterization of inner product spaces
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DOI: 10.1007/s00010-017-0494-7
Abstract: It is proved that a normed space, whose dimension is at least three, admitting a nonzero linear operator reversing Birkhoff orthogonality is an inner product space, which releases the smoothness condition in one of J.… read more here.
Keywords: product spaces; product; inner product; orthogonalities linear ... See more keywords