MODULE AND GENERALIZED MODULE LEFT (m, n)-DERIVATIONS
- Authors
- Park, Choonkil
- Issue Date
- Sep-2017
- Publisher
- ELEMENT
- Keywords
- C* -algebra; (unital) algebra; positive element; Banach left A-module; (generalized) module left (m,n)-derivation
- Citation
- OPERATORS AND MATRICES, v.11, no.3, pp.823 - 830
- Indexed
- SCIE
SCOPUS
- Journal Title
- OPERATORS AND MATRICES
- Volume
- 11
- Number
- 3
- Start Page
- 823
- End Page
- 830
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/151718
- DOI
- 10.7153/oam-11-58
- ISSN
- 1846-3886
- Abstract
- Fosner [3, 4] defined a module left (m, n)-derivation and a generalized module left (m, n)-derivation and proved the Hyers-Ulam stability of module left (m, n)-derivations and generalized module left (m, n)-derivations. In this note, we investigate the properties of module left (m, n)-derivation and generalized module left (m, n)-derivation. Furthermore, we prove that every module left (m, n)-derivation in C*-algebras is a zero mapping and that every generalized module left (m, n)-derivation in C*-algebras is a zero mapping.
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