On the rank of operators in reflexive algebras
On the rank of operators in reflexive algebras
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DOI：
10.1016/0024-3795(90)90268-h
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发表时间：
1990-12
影响因子：
1.1
通讯作者：
M. S. Lambrou
中科院分区：
文献类型：
--
作者：
M. S. Lambrou
如果asb = 0暗示as = 0或sb = 0，则称为单个元素代数。对于许多算子代数，Sis单当且仅当其秩为1。本文研究了非秩一单算子的性质，以及代数上所有单算子都为秩一的条件。
An elementSof an algebra is called single ifASB= 0 impliesAS= 0 orSB= 0. For many algebras of operators,Sis single if and only ifShas rank one. Here we study properties of single operators not of rank one, and conditions on the algebra which will ensure that all its single operators are of rank one.