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ε-近似保内积的某个特定值映射 被引量：1

On Mappings Approximately Preserving a Particular Value of Inner Product
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摘要 在复Hilbert空间中给出了近似保内积的某个特定值映射的定义,研究了近似保内积的某个特定值线性映射的性质,应用复Hilbert空间中的平行四边形法则证明了非零近似保内积的某个特定值线性映射是有界且下有界的,推广了近似保正交线性映射的定义和结论。 In complex Hilbert spaces, the definition of mapping approximately preserving a particular value of the inner product is given. Then the properties of linear mapping approximately preserving a particular value of the inner product are studied. Finally, it is proved that the nonzero linear mapping approximately preserving a particular value of the inner product is bounded and bounded below by parallelogram law. The result is a generalization of approximate orthogonality preserving linear mappings.
作者 孔亮
机构地区 商洛学院数学与计算机应用学院
出处 《商洛学院学报》 2014年第6期13-15,共3页 Journal of Shangluo University
基金 商洛学院科研基金项目(14SKY016)
关键词 HILBERT空间 正交 近似正交 特定值映射 Hilbert space orthogonality approximate orthogonality particular value of the inner product
分类号 O177.1 [理学—基础数学]
  • 相关文献

参考文献17

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二级参考文献30

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共引文献12

同被引文献13

  • 1张芳娟,吉国兴.B(H)上保正交性的可加映射[J].陕西师范大学学报（自然科学版）,2005,33(4):21-25. 被引量：5
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  • 5SAIDI F B.An extension of the notion of orthogonality to Banach spaces [J]. J Math Anal Appl,2002,267(1): 29-47.
  • 6CHMIELII~ISKI J, WOJCIK P.On a p-orthogonality [J].Aequationes Math,2010,80(1):45-55.
  • 7WOJCIK P.Linear mappings preserving p-orthogonality [J].J Math Anal Appl,2012,386(1):171-176.
  • 8CHMIELIlqSKI J. On an e-Birkhoff orthogonality, J Inequal Pure Appl Math,2005,6(3):l-7.
  • 9MOJ~KETC B, TURN~EK &Mapping appreximately preserving orthogonality in normed spaees[J].Nonlinear Anal,2010,73(12):3821-3831.
  • 10CHMIELIfftSKI J, WOJCIK P.Isoseeles-ortho gonality preserving property and its stability[J].Nonlinear Anal, 2010,72(8):1445-1453.

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商洛学院学报
2014年 第6期

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