On Jordan all-derivable points of B(H)

On Jordan all-derivable points of B(H)
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DOI:
10.1016/j.laa.2008.09.006
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发表时间:
2009-02
影响因子:
1.1
通讯作者:
Jing Wu
Jing Wu
中科院分区:
数学3区
文献类型:
--
作者:
Jing Wu

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设H是Hilbert空间,B(H)是H上所有有界线性算子的代数.本文证明了当H是无限维时,0是B(H)的广义Jordan全可导点.对任意Hilbert空间H,我们还证明了I是B(H)的Jordan全可导点.
Let H be a Hilbert space and B(H) the algebra of all bounded linear operators on H. In this note we show that 0 is a generalized Jordan all-derivable point of B(H) if H is infinite-dimensional. For any Hilbert space H, we also show that I is a Jordan all-derivable point of B(H).