PRESERVATION OF TENSOR SUM AND TENSOR PRODUCT
PRESERVATION OF TENSOR SUM AND TENSOR PRODUCT
复制标题
张量和和张量积的保存
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
N. Levan
中科院分区：
文献类型：
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作者：
C. Kubrusly;N. Levan
本文讨论Hilbert空间算子张量积与张量和的保持性。给出了张量和的基本运算。本文的主要结果解决了将一对算子的性质转化为它们的张量积与张量和的问题。给出了张量和与张量积保持常和与常积保持的性质的充分条件，这些条件对有限维与无限维空间都是等价的.
This note deals with preservation of tensor sum and tensor product of Hilbert space operators. Basic operations with tensor sum are presented. The main result addresses to the problem of transferring properties from a pair of op- erators to their tensor sum and to their tensor product. Sucient conditions are given to ensure that properties preserved by ordinary sum and ordinary product are preserved by tensor sum and tensor product, which are equally relevant for both nite-dimensional and innite-dimension al spaces.