Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON THE STABILITY OF THE JENSEN'S EQUATION IN A HILBERT MODULE

  • Park, Chun-Gil (DEPARTMENT OF MATHEMATICS, CHUNGNAMNATIONAL UNIVERSITY) ;
  • Park, Won-Gil (DEPARTMENT OF MATHEMATICS, CHUNGNAMNATIONAL UNIVERSITY)
  • Published : 2003.02.01
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Abstract

We prove the generalized Hyers-Ulam-Rassias stability of the invertible mapping in a Banach module over a unital Banach algebra, and prove the generalized Hyers-Ulam-Rassias stability of the Jensen's functional equations in a Hilbert module over a unital $C^{*}$-algebra.

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References

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  4. Taiwanese J. Math. v.6 On the stability of the Jensen's equation in Banach modules over a Banach algebra C. Park;W. Park
  5. Proc. Amer. Math. Soc. v.72 On the stability of the linear mapping in Banach spaces Th. M. Rassias https://doi.org/10.1090/S0002-9939-1978-0507327-1
  6. Pitman Research Notes in Math. Ser. v.290 K - Theory for real $C^*$ -algebras and applications H. Schroder

Cited by

  1. ON THE HYERS-ULAM-RASSIAS STABILITY OF THE JENSEN EQUATION IN DISTRIBUTIONS vol.26, pp.2, 2011, https://doi.org/10.4134/CKMS.2011.26.2.261