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Hilbert空间上的(δ,ε)-近似保正交映射 被引量：3

(δ,ε)-Approximate Orthogonality-Preserving Mapping in Hilbert Space
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摘要 在复Hilbert空间中,给出了(δ,ε)-近似保正交映射的定义,证明了非零(δ,ε)-近似保正交线性映射有界并且是下有界的,得到了有界线性映射成为(δ,ε)-近似保正交线性映射的一个充分条件. In complex Hilbert ping was given. The nontrivial （ spa ces, the definition of （δ,ε）- approximate orthogonality-preserving map ）-approximate orthogonality-preserving linear mapping was proved to be bounded and bounded below, and a sufficient condition for a bounded linear mapping to be （δ,ε）- approximate orthogonality preserving linear mapping was obtained.
作者 孔亮 李超
机构地区 商洛学院应用数学研究所
出处 《甘肃科学学报》 2014年第4期1-4,10,共5页 Journal of Gansu Sciences
基金 陕西省科技厅科研项目(2012JM1018) 陕西省教育厅科研项目(2013JK0570) 陕西省教育厅教改项目(13BZ56) 商洛学院教改项目(13JYJX101)
关键词 HILBERT空间 正交 近似正交 (δ ε)-近似保正交映射 Hilbert space Orthogonality Approximate orthogonality （δ，ε）-approximate orthogonality- preservmg mapping
分类号 O177.1 [理学—基础数学]
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共引文献12

同被引文献51

  • 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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引证文献3

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甘肃科学学报
2014年 第4期

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