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Approximate linear derivations and functional inequalities with applications - MaRDI portal

Approximate linear derivations and functional inequalities with applications (Q419078)

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scientific article; zbMATH DE number 6036221
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Approximate linear derivations and functional inequalities with applications
scientific article; zbMATH DE number 6036221

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    Approximate linear derivations and functional inequalities with applications (English)
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    18 May 2012
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    linear derivation
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    continuity
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    stability of functional equation
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    semisimple Banach algebra
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    The authors consider approximate derivations and prove the interesting result that any approximate linear derivation on a semisimple Banach algebra is continuous (it is known that any linear derivation on a semisimple Banach algebra is continuous).NEWLINENEWLINE Also some results concerning the stability of special functional equations are presented.
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