ScholarLens Back to search
2011•Unpublished venueRequires access

PRESERVATION OF TENSOR SUM AND TENSOR PRODUCT

Carlos S. Kubrusly, N. Levan

Open publisher page 9 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Tensor product of Hilbert spaces, Cartesian tensor, Tensor contraction, Tensor density, Symmetric tensor, Tensor product, Mathematics, Tensor product of modules

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
PRESERVATION OF TENSOR SUM AND TENSOR PRODUCT — Research Paper | ScholarLens