A note on compactness of tensor products

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Carlos Kubrusly Joao Zanni

Abstract

Compactness is preserved from a pair of operators to their tensor product. The converse was considered in [10] under some restrictions on the spectra of the operators. This paper shows that no restriction is necessary: the converse holds whenever the tensor product is nonzero.

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How to Cite
Kubrusly, C., & Zanni, J. (2015). A note on compactness of tensor products. Acta Mathematica Universitatis Comenianae, 84(1), 59-62. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/47/126
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