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
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.
引用
收藏
页码:51 / 56
页数:6
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