Maps Completely Preserving Invertibility or Zero Divisors on Standard Operator Algebras
Maps Completely Preserving Invertibility or Zero Divisors on Standard Operator Algebras
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发表时间：
2009
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通讯作者：
Hou Jin-chuan
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作者：
Hou Jin-chuan
刻画了复无穷维Banach空间上标准算子代数上完全保持（左，右）可逆性、（左，右）零因子和（左，右）零拓扑因子中的任意一个的映射。给出了标准算子代数上同构的一些新的刻画。
Maps on standard operator algebras on complex infinite dimensional Banach spaces completely preserving any one of(left,right)invertibility,(left,right)zero divisors and(left,right)topological divisors of zero are characterized.Some new characterizations of isomorphisims on standard operator algebras are obtained.