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On Generalized Notions of Derivations

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Abstract

We introduce the notion of the generalized type derivation and identify its decompositions. We obtain some results concerning continuity of generalized type derivations on \(C^*\)-algebras. Our results recover continuity of ordinary derivations, right (left) centralizers and double derivations on \(C^*\)-algebras.

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Correspondence to Ismail Nikoufar.

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Nikoufar, I. On Generalized Notions of Derivations. Iran J Sci Technol Trans Sci 43, 2607–2611 (2019). https://doi.org/10.1007/s40995-019-00754-w

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  • DOI: https://doi.org/10.1007/s40995-019-00754-w

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