Geodesic
On a Kleinecke-Shirokov theorem
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 817-822.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We prove that for normal operators $N_1, N_2\in \mathcal {L(H)},$ the generalized commutator $[N_1, N_2; X]$ approaches zero when $[N_1,N_2; [N_1, N_2; X]]$ tends to zero in the norm of the Schatten-von Neumann class $\mathcal {C}_p$ with $p>1$ and $X$ varies in a bounded set of such a class.
DOI : 10.21136/CMJ.2021.0103-20
Classification : 47B10, 47B20, 47B47
Keywords: Kleinecke-Shirokov theorem; generalized commutator 
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     title = {On a {Kleinecke-Shirokov} theorem},
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     pages = {817--822},
     publisher = {mathdoc},
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Lauric, Vasile. On a Kleinecke-Shirokov theorem. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 817-822. doi : 10.21136/CMJ.2021.0103-20. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2021.0103-20/

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