MODULE AND GENERALIZED MODULE LEFT (m, n)-DERIVATIONS
- Title
- MODULE AND GENERALIZED MODULE LEFT (m, n)-DERIVATIONS
- Author
- 박춘길
- Keywords
- C* -algebra; (unital) algebra; positive element; Banach left A-module; (generalized) module left (m,n)-derivation
- Issue Date
- 2017-09
- Publisher
- ELEMENT
- Citation
- OPERATORS AND MATRICES, v. 11, no. 3, page. 823-830
- 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.
- URI
- http://oam.ele-math.com/11-58/Module-and-generalized-module-left-(m,n)-derivationshttps://repository.hanyang.ac.kr/handle/20.500.11754/115667
- ISSN
- 1846-3886
- DOI
- 10.7153/oam-11-58
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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