On Lie All-Derivable Points of B(H)

Citation:

Lei LIU,Kaipeng LI.On Lie All-Derivable Points of B(H)[J].Chinese Annals of Mathematics B,2026,(2):375~388
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Authors:

Lei LIU; Kaipeng LI

Foundation:

National Natural Science Foundation of China (No. 12071134); Natural Science Foundation of Shaanxi Province (No. 2021JM-119); Natural Science Basic Research Program of Shaanxi (No. 2025JC-YBMS-024)
Abstract: 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.

Keywords:

Derivation  Lie derivation  All-Derivable point

Classification:

47B47, 47L30
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