Ring isomorphisms and linear or additive maps preserving zero products on nest algebras
Ring isomorphisms and linear or additive maps preserving zero products on nest algebras
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DOI：
10.1016/j.laa.2004.02.032
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发表时间：
2004-08
影响因子：
1.1
通讯作者：
J. Hou;Xiuling Zhang
中科院分区：
文献类型：
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作者：
J. Hou;Xiuling Zhang
证明了作用在无限维Banach空间上的套代数的范数闭标准子代数之间的环同构是空间同构或空间共轭同构.然后，这是用来刻画保持零产品的套代数之间的线性或加法映射。
It is shown that every ring isomorphism between norm closed standard subalgebras of nest algebras acting on infinite dimensional Banach spaces is either a spatial isomorphism or a spatial conjugate isomorphism. This is then used to characterize the linear or additive maps between nest algebras which preserve zero products.