Geodesic
Symmetric Bi-derivations and their generalizations on group algebras
Filomat, Tome 35 (2021) no. 4, p. 1233

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DOI

Here, we investigate symmetric bi-derivations and their generalizations on L∞0 (G) ∗. For κ ∈ N, we show that if B : L∞0 (G) ∗×L∞0 (G)∗ → L∞0 (G)∗ is a symmetric bi-derivation such that [B(m,m),mκ] ∈ Z(L∞0 (G)∗) for all m ∈ L∞0 (G)∗, then B is the zero map. Furthermore, we characterize symmetric generalized bi- derivations on group algebras. We also prove that any symmetric Jordan bi-derivation on L∞0 (G) ∗ is a symmetric bi-derivation
DOI : 10.2298/FIL2104233G
Classification : 43A15, 47B47, 16W25
Keywords: Locally compact abelian group, bi-derivation, κ−centralizing mapping, κ−skew centralizing mapping 
Mohammad Hossein Ahmadi Gandomani; Mohammad Javad Mehdipour. Symmetric Bi-derivations and their generalizations on group algebras. Filomat, Tome 35 (2021) no. 4, p. 1233 . doi: 10.2298/FIL2104233G
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     title = {Symmetric {Bi-derivations} and their generalizations on group algebras},
     journal = {Filomat},
     pages = {1233 },
     year = {2021},
     volume = {35},
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     doi = {10.2298/FIL2104233G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2104233G/}
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