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<p>Let <i>H</i> be a Hilbert space of dimension greater than 2 and <i>B</i>(<i>H</i>) be the algebra of all bounded linear operators on <i>H</i>. In this paper, the authors show that <i>G</i> ∈ <i>B</i>(<i>H</i>) is a Lie all-derivable point of <i>B</i>(<i>H</i>) if the range of <i>G</i> is not dense in <i>H</i>.</p>

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On Lie All-Derivable Points of B(H)

  • 期刊论文

  • 发表日期：

    2025年11月7日

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  • Lei Liu,
  • Kaipeng Li

摘要

Let H be a Hilbert space of dimension greater than 2 and B(H) be the algebra of all bounded linear operators on H. In this paper, the authors show that G ∈ B(H) is a Lie all-derivable point of B(H) if the range of G is not dense in H.