Jordan and Jordan higher all-derivable points of some algebras
نویسندگان
چکیده
منابع مشابه
Left derivable or Jordan left derivable mappings on Banach algebras
Let $mathcal{A}$ be a unital Banach algebra, $mathcal{M}$ be a left $mathcal{A}$-module, and $W$ in $mathcal{Z}(mathcal{A})$ be a left separating point of $mathcal{M}$. We show that if $mathcal{M}$ is a unital left $mathcal{A}$-module and $delta$ is a linear mapping from $mathcal{A}$ into $mathcal{M}$, then the following four conditions are equivalent: (i) $delta$ is a Jordan left de...
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let $mathcal{a}$ be a unital banach algebra, $mathcal{m}$ be a left $mathcal{a}$-module, and $w$ in $mathcal{z}(mathcal{a})$ be a left separating point of $mathcal{m}$. we show that if $mathcal{m}$ is a unital left $mathcal{a}$-module and $delta$ is a linear mapping from $mathcal{a}$ into $mathcal{m}$, then the following four conditions are equivalent: (i) $delta$ is a jordan left de...
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In this paper, we investigate the generalized Hyers-Ulam stability of Jordan homomorphisms in Jordan Banach algebras for the functional equation begin{align*} sum_{k=2}^n sum_{i_1=2}^ksum_{i_2=i_{1}+1}^{k+1}cdotssum_{i_n-k+1=i_{n-k}+1}^n fleft(sum_{i=1,i not=i_{1},cdots ,i_{n-k+1}}^n x_{i}-sum_{r=1}^{n-k+1} x_{i_{r}}right) + fleft(sum_{i=1}^{n}x_{i}right)-2^{n-1} f(x_{1}) =0, end{align*} where ...
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2013
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2012.709245