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实赋范线性空间上的广义近似保等腰正交映射 被引量：1

Generalized Approximate Isosceles-orthogonality Preserving Mappings in Real Normed Linear Spaces
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摘要 在实赋范线性空间中,给出了广义近似等腰正交和广义近似保等腰正交映射的定义,得到了广义近似保等腰正交线性映射的一些充分条件,证明了非零广义近似保等腰正交线性映射有界并且是下有界的,推广了近似保等腰正交线性映射的定义和结论. In real normed linear spaces,the definition of generalized approximate isosceles-orthogonality preservingmapping is given. Some sufficient conditions for a linear mapping to be a generalized approximate isosceles-orthogonalitypreserving mapping are given. Then it is proved that the nonzero generalized approximate isosceles-orthogonalitypreserving mapping is bounded and bounded below,which is a generalization of approximate isosceles-orthogonalitypreserving linear mapping.
作者 孔亮
机构地区 商洛学院应用数学研究所
出处 《河南科学》 2014年第12期2434-2439,共6页 Henan Science
基金 陕西省科技厅科研项目(2012JM1018) 陕西省教育厅科研项目(2013JK0570) 商洛学院科研项目(14SKY016)
关键词 等腰正交 近似等距 近似等腰正交 广义近似保等腰正交映射 isosceles-orthogonality approximate isometry generalized approximate isosceles-orthogonality generalized approximate isosceles-orthogonality preserving mapping
分类号 O177.1 [理学—基础数学]
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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12

  • 1Chmieliński J.Linear mappings approximately preserving orthogonality[J].J Math Anal Appl,2005,301(1):158-169.
  • 2Chmieliński J.Stability of the orthogonality preserving property in finite-dimensional inner product spaces[J].J Math Anal Appl,2006,318(2):433-443.
  • 3Blanco A,Turn?ek A.On maps that preserve orthogonality in normed spaces[J].Proc Roy Soc Edinburgh Sect A,2006,136(4):709-716.
  • 4Turn?ek A.On mappings approximately preserving orthogonality[J].J Math Anal Appl,2007,336(1):625-631.
  • 5Ili?evic D,Turn?ek A.Approximately orthogonality preserving mappings on C*-modules[J].J Math Anal Appl,2006,318(2):433-443.
  • 6Chmieliński J,Wójcik P.Isosceles-orthogonality preserving property and its stability[J].Nonlinear Anal,2010,72(8):1445-1453.
  • 7Moj?kerc B,Turn?ek A.Mapping approximately preserving orthogonality in normed spaces[J].Nonlinear Anal,2010,73(12):3821-3831.
  • 8Burgos M.Orthogonality preserving linear maps on C*-algebras with non-zero socles[J].J Math Anal Appl,2013,401(2):479-487.
  • 9Cazassa P G,Christensen O.Perturbation of operators and applications to frame theory[J].J Fourier Anal Appl,1997,3(5):543-557.
  • 10孔亮,曹怀信.ε-近似保正交映射的稳定性与扰动[J].数学学报（中文版）,2010,53(1):61-66. 被引量：13

引证文献1

河南科学
2014年 第12期

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