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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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