Geodesic
On the product of $l_{s,r}$-nuclear operators and operators close to them
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Tome 207 (2022), pp. 107-119.

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In this paper, we analyze the possibilities of factorization of various types of nuclear operators through Hilbert spaces and apply the results obtained to problems on the distribution of eigenvalues of operators from the corresponding classes.
Keywords: nuclear operator, Schatten class, Lorentz space, factorization, Hilbert space. 
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O. I. Reinov. On the product of $l_{s,r}$-nuclear operators and operators close to them. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 2, Tome 207 (2022), pp. 107-119. http://geodesic.mathdoc.fr/item/INTO_2022_207_a11/

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