JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (06): 75-82.doi: 10.6040/j.issn.1671-9352.0.2014.571

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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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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

CLC Number: 

  • O177.1
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