Characterization of ternary derivation of strongly double triangle subspace lattice algebras

被引：0
作者：
Qin, Zijie [1 ]
Chen, Lin [1 ]
机构：
[1] Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 12期
基金：
中国国家自然科学基金;
关键词：
ternary derivation; derivation; centralizer; strongly double triangle subspace lattice; GENERALIZED DERIVATIONS; UNITAL ALGEBRAS; ZERO-POINT; MAPS; CENTRALIZERS;
D O I：
10.3934/math.20231503
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let D be a strongly double triangle subspace lattice on a nonzero complex reflexive Banach space. In this paper, we characterize the linear maps (5, T: AlgD -AlgD satisfying (5(A)B + AT(B) = 0 for any A, B E AlgD with AB = 0. This result can be used to characterize linear maps derivable (centralized) at zero point and local centralizers on AlgD, respectively.
引用
收藏
页码：29368 / 29381
页数：14
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