• Title/Summary/Keyword: addtive mapping

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APPROXIMATE LINEAR MAPPING OF DERIVATION-TYPE ON BANACH ∗-ALGEBRA

  • Chang, Ick-Soon
    • Journal of the Chungcheong Mathematical Society
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    • v.32 no.2
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    • pp.195-205
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    • 2019
  • We consider additive mappings similar to derivations on Banach ${\ast}$-algebras and we will first study the conditions for such additive mappings on Banach ${\ast}$-algebras. Then we prove some theorems concerning approximate linear mappings of derivation-type on Banach ${\ast}$-algebras. As an application, approximate linear mappings of derivation-type on $C^{\ast}$-algebra are characterized.