Geodesic
On Tensor Products of $l$-Operators and $bo$-Operators
Matematičeskie zametki, Tome 68 (2000) no. 5, pp. 756-760 
V. T. Khudalov. On Tensor Products of $l$-Operators and $bo$-Operators. Matematičeskie zametki, Tome 68 (2000) no. 5, pp. 756-760. http://geodesic.mathdoc.fr/item/MZM_2000_68_5_a10/
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     title = {On {Tensor} {Products} of $l${-Operators} and $bo${-Operators}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the tensor product of two linear operators is a cone summing operator (respectively, order bounded operator) if and only if both operators are cone summing (respectively, order bounded).

[1] Khudalov V. T., “O sovpadenii dvukh krossnorm, svyazannykh s poryadkom”, Zap. nauch. seminarov LOMI AN SSSR, 92, Nauka, L., 1979, 307–311 | MR | Zbl

[2] Schatten R., A Theory of Cross-Spaces, Princeton, 1950

[3] Wittstock G., “Ordered normed tensor products”, Lecture Notes in Phys., no. 29, 1974, 67–84 | MR | Zbl

[4] Holub J., “Tensor product mappings”, Math. Ann., 188 (1970), 1–12 | DOI | MR | Zbl