Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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FUNCTIONAL EQUATIONS IN BANACH MODULES AND APPROXIMATE ALGEBRA HOMOMORPHISMS IN BANACH ALGEBRAS

  • Boo, Deok-Hoon (Department of Mathematics Chungnam National University) ;
  • Kenary, Hassan Azadi (Department of Mathematics College of Science Yasouj University) ;
  • Park, Choonkil (Department of Mathematics Research Institute for Natural Sciences Hanyang University)
  • Received : 2011.02.14
  • Accepted : 2011.03.15
  • Published : 2011.03.30
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Abstract

We prove the Hyers-Ulam stability of partitioned functional equations in Banach modules over a unital $C^*$-algebra. It is applied to show the stability of algebra homomorphisms in Banach algebras associated with partitioned functional equations in Banach algebras.

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References

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