Jordan Derivations of Reflexive Algebras

被引：8
|
作者：
Lu, Fangyan [1 ]
机构：
[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2010年 / 67卷 / 01期
关键词：
Jordan derivations; reflexive algebras; derivations; SEMIPRIME RINGS; LATTICES;
D O I：
10.1007/s00020-010-1769-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let L be a subspace lattice on a Banach space X and suppose that boolean OR{L is an element of L : L- < X} = X or boolean AND{L- : L is an element of L, L > (0)} = (0). Then each Jordan derivation from AlgL into B(X) is a derivation. This result can apply to completely distributive subspace lattice algebras, J-subspace lattice algebras and reflexive algebras with the non-trivial largest or smallest invariant subspace.
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页码：51 / 56
页数：6
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