Title: PRESERVATION OF TENSOR SUM AND TENSOR PRODUCT
Abstract: 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.
Publication Year: 2011
Publication Date: 2011-01-01
Language: en
Type: article
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Cited By Count: 9
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