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Symmetry of the B-J Orthogonality

  • Arpita Mal,
  • Kallol Paul,
  • Debmalya Sain

摘要

While working with the usual orthogonality relation in Hilbert spaces, little do we realize that the symmetry of the orthogonality is a precious boon! Indeed, one of the fundamental differences between the usual orthogonality in Hilbert spaces and B-J orthogonality in Banach spaces is that unlike the former one, the later one is, in general, asymmetric.