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山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (06): 75-82.doi: 10.6040/j.issn.1671-9352.0.2014.571

• 论文 • 上一篇    下一篇

ε-近似保平方等腰正交映射的刻画与扰动

孔亮1, 曹怀信2   

  1. 1. 商洛学院应用数学研究所, 陕西 商洛 726000;
    2. 陕西师范大学数学与信息科学学院, 陕西 西安 710062
  • 收稿日期:2014-12-22 修回日期:2015-04-21 出版日期:2015-06-20 发布日期:2015-07-31
  • 作者简介:孔亮(1983-),男,硕士,讲师,研究方向为算子理论.E-mail:kongliang2005@163.com
  • 基金资助:
    国家自然科学基金资助项目(11371012)

Characterization and perturbations of ε-approximate square isosceles-orthogonality preserving mappings

KONG Liang1, CAO Huai-xin2   

  1. 1. Institute of Applied Mathematics, Shangluo University, Shangluo 726000, Shaanxi, China;
    2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, Shaanxi, China
  • Received:2014-12-22 Revised:2015-04-21 Online:2015-06-20 Published:2015-07-31

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摘要： 在实赋范线性空间中, 给出了ε-近似保平方等腰正交映射的定义, 得到了ε-近似保平方等腰正交线性映射的一些充分条件, 在映射有界的条件下, 给出了ε-近似保平方等腰正交线性映射的刻画, 最后得到了ε-近似保平方等腰正交线性映射的扰动定理。

关键词: -近似等距, &epsilon, -近似平方等腰正交, &epsilon, -近似保平方等腰正交映射, 等腰正交, &delta

Abstract: Firstly, In real normed linear spaces, the definition of ε-approximate square isosceles-orthogonality preserving mapping is given. Some sufficient conditions for a linear mapping to be an ε-approximate square isosceles-orthogonality preserving mapping are given. Secondly, when the mapping is bounded, the characterization of ε-approximate square isosceles-orthogonality preserving linear mapping is obtained. Finally, the perturbations of ε-approximate square isosceles-orthogonality preserving linear mapping are given.

Key words: ε-approximate square isosceles-orthogonality, δ-approximate isometry, isosceles-orthogonality, ε-approximate square isosceles-orthogonality preserving mapping

中图分类号: 

  • O177.1
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