APPROXIMATELY PARTIAL TERNARY QUADRATIC DERIVATIONS ON BANACH TERNARY ALGEBRAS
نویسندگان
چکیده
منابع مشابه
Lie ternary $(sigma,tau,xi)$--derivations on Banach ternary algebras
Let $A$ be a Banach ternary algebra over a scalar field $Bbb R$ or $Bbb C$ and $X$ be a ternary Banach $A$--module. Let $sigma,tau$ and $xi$ be linear mappings on $A$, a linear mapping $D:(A,[~]_A)to (X,[~]_X)$ is called a Lie ternary $(sigma,tau,xi)$--derivation, if $$D([a,b,c])=[[D(a)bc]_X]_{(sigma,tau,xi)}-[[D(c)ba]_X]_{(sigma,tau,xi)}$$ for all $a,b,cin A$, where $[abc]_{(sigma,tau,xi)}=ata...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Sciences and Applications
سال: 2011
ISSN: 2008-1901
DOI: 10.22436/jnsa.004.01.06