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- W4299364512 abstract "Let $Alg mathcal{N}$ be a nest algebra associated with the nest $ mathcal{N}$ on a (real or complex) Banach space $X$. Suppose that there exists a non-trivial idempotent $Pin Algmathcal{N}$ with range $P(X) in mathcal{N}$ and $delta:Algmathcal{N} rightarrow Algmathcal{N}$ is a continuous linear mapping (generalized) left derivable at $P$, i.e. $delta(ab)=adelta(b)+bdelta(a)$ ($delta(ab)=adelta(b)+bdelta(a)-badelta(I)$) for any $a,bin Algmathcal{N}$ with $ab=P$. we show that $delta$ is a (generalized) Jordan left derivation. Moreover, we characterize the strongly operator topology continuous linear maps $delta$ on some nest algebra $Algmathcal{N}$ with property that $delta(P)=2Pdelta(P)$ or $delta(P)=2Pdelta(P)-Pdelta(I)$ every idempotent $P$ in $Algmathcal{N}$." @default.
- W4299364512 created "2022-10-02" @default.
- W4299364512 creator A5083067189 @default.
- W4299364512 date "2013-12-25" @default.
- W4299364512 modified "2023-09-25" @default.
- W4299364512 title "Characterizations of left derivable maps at non-trivial idempotents on nest algebras" @default.
- W4299364512 doi "https://doi.org/10.48550/arxiv.1312.6959" @default.
- W4299364512 hasPublicationYear "2013" @default.
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