准HilbertC＊-模上保正交映射的稳定性

摘要

For an ε-approximate orthogonality preserving A-linear mapping T in the setting of pre-Hilbert C＊-modules,an estimate of ‖〈T（x）,T（y）〉-｜｜T｜｜2〈x,y〉‖is obtained.Secondly,the stability of orthogonality preserving A-linear mapping is discussed.Lastly,some sufficient conditions for an A-linear mapping to be an ε-approximate orthogonality preserving A-linear mapping are given.%对于准Hilbert C＊-模之间的ε-近似保正交A-线性映射T,得到了‖〈T（x）,T（y）〉-｜｜T｜｜2〈x,y〉‖的一个估计,研究了保正交A-线性映射在＂ε-近似保正交＂意义下的稳定性,给出了准Hilbert C＊-模之间的A-线性映射是ε-近似保正交A-线性映射的一些充分条件。