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Tingley's Problem on Symmetric Absolute Normalized Norms on R^2

作者:Ryotaro; TANAKA标准化规范对称二维空间充分条件序列空间正交性归一化洛伦兹

摘要:In this paper,we study Tingley’s problem on symmetric absolute normalized norms on R2.We construct new methods for Tingley’s problem on two-dimensional spaces by using isosceles orthogonality,which does not make use of the notion of natural extension.Furthermore,using our methods,several sufficient conditions for Tingley’s problem on symmetric absolute normalized norms on R2 are given.As applications,we present various new examples including the two-dimensional Lorentz sequence space d(2)(ω,q) and its dual d(2)(ω,q)*by simple arguments.

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数学学报

《数学学报》(CN:11-2038/O1)是一本有较高学术价值的大型双月刊,自创刊以来,选题新奇而不失报道广度,服务大众而不失理论高度。颇受业界和广大读者的关注和好评。

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