ON THE DECOMPOSITION OF FAMILIES OF QUASINORMAL OPERATORS
ON THE DECOMPOSITION OF FAMILIES OF QUASINORMAL OPERATORS
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关于准正规算子族的分解
DOI：
10.7494/opmath.2013.33.3.419
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发表时间：
2013
影响因子：
1
通讯作者：
Zbigniew Burdak
中科院分区：
文献类型：
--
作者：
Zbigniew Burdak
给出了一类联合拟正规算子族的正则内射分解。描述了拟正规算子T的分解与T的极分解中部分等距的分解之间的关系。给出了交换拟正规部分等距对的分解及其在交换拟正规算子对上的应用。给出了实例。
The canonical injective decomposition of a jointly quasinormal family of operators is given. Relations between the decomposition of a quasinormal operator T and the decompo- sition of a partial isometry in the polar decomposition of T are described. The decomposition of pairs of commuting quasinormal partial isometries and its applications to pairs of com- muting quasinormal operators is shown. Examples are given.