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On approximate Birkhoff-James orthogonality and normal cones in a normed space. (arXiv:1706.07715v1 [math.FA])

来源于:arXiv
We study two notions of approximate Birkhoff-James orthogonality in a normed space, from a geometric point of view, and characterize them in terms of normal cones. We further explore the interconnection between normal cones and approximate Birkhoff-James orthogonality to obtain a complete characterization of normal cones in a two-dimensional smooth Banach space. We also obtain a uniqueness theorem for approximate Birkhoff-James orthogonality set in a normed space. 查看全文>>