Geodesic
On products of nuclear operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 4, pp. 90-91

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The possibility of factoring a product of nuclear operators through operators in the von Neumann–Schatten class is considered. In particular, generally, the product of two nuclear operators can be factored only through a Hilbert–Schmidt operator.
Keywords: $p$-nuclear operator, von Neumann-Schatten class, factorization, eigenvalue. 
@article{FAA_2017_51_4_a9,
     author = {O. I. Reinov},
     title = {On products of nuclear operators},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {90--91},
     publisher = {mathdoc},
     volume = {51},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2017_51_4_a9/}
}
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O. I. Reinov. On products of nuclear operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 4, pp. 90-91. http://geodesic.mathdoc.fr/item/FAA_2017_51_4_a9/