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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/}
}
TY  - JOUR
AU  - O. I. Reinov
TI  - On products of nuclear operators
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2017
SP  - 90
EP  - 91
VL  - 51
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2017_51_4_a9/
LA  - ru
ID  - FAA_2017_51_4_a9
ER  - 
%0 Journal Article
%A O. I. Reinov
%T On products of nuclear operators
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2017
%P 90-91
%V 51
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2017_51_4_a9/
%G ru
%F FAA_2017_51_4_a9
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/

[1] T. Carleman, Acta Math., 41:1 (1916), 377–384 | DOI | MR

[2] B. S. Mityagin, J. Operator Theory, 76:1 (2016), 57–65 | DOI | MR | Zbl

[3] R. Oloff, Beiträge Anal., 4 (1972), 105–108 | MR | Zbl

[4] O. I. Reinov, J. Math. Sciences, 115:2 (2003), 2243–2250 | DOI | MR

[5] A. Zigmund, Trigonometricheskie ryady, v. 1, Mir, M., 1965 | MR

[6] A. Pich, Operatornye idealy, Mir, M., 1982 | MR

[7] M. Rid, B. Saimon, Metody sovremennoi matematicheskoi fiziki, v. 1, Funktsionalnyi analiz, Mir, M., 1977 | MR