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| On Lie All-Derivable Points of B(H) |
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Citation: |
Lei LIU,Kaipeng LI.On Lie All-Derivable Points of B(H)[J].Chinese Annals of Mathematics B,2026,(2):375~388 |
| Page view: 82
Net amount: 29 |
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) |
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| 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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