Stability of Derivations on Hilbert $C^*$-Modules

M. amyari; M. S. Moslehian

Stability of Derivations on Hilbert $C^*$-Modules

泛函分析 2011-11-09 v1 偏微分方程分析

作者: M. amyari , M. S. Moslehian

摘要

Consider the functional equation ${\mathcal E}_1(f) = {\mathcal E}_2(f) ({\mathcal E})$ in a certain framework. We say a function $f_0$ is an approximate solution of $({\mathcal E})$ if ${\mathcal E}_1(f_0)$ and ${\mathcal E}_2(f_0)$ are close in some sense. The stability problem is whether or not there is an exact solution of $({\mathcal E})$ near $f_0$ . In this paper, the stability of derivations on Hilbert $C^*$ -modules is investigated in the spirit of Hyers--Ulam--Rassias.

关键词

hyers-ulam stability stability analysis stability theory

引用

@article{arxiv.math/0603501,
  title  = {Stability of Derivations on Hilbert $C^*$-Modules},
  author = {M. amyari and M. S. Moslehian},
  journal= {arXiv preprint arXiv:math/0603501},
  year   = {2011}
}

备注

9 pages, to appear in Contemp. Math (Amer. Math. soc.)

Stability of Derivations on Hilbert $C^*$-Modules

摘要

关键词

引用

备注

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