On a Kleinecke-Shirokov theorem
Czechoslovak Mathematical Journal (2021)
- Volume: 71, Issue: 3, page 817-822
- ISSN: 0011-4642
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topLauric, Vasile. "On a Kleinecke-Shirokov theorem." Czechoslovak Mathematical Journal 71.3 (2021): 817-822. <http://eudml.org/doc/298213>.
@article{Lauric2021,
abstract = {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.},
author = {Lauric, Vasile},
journal = {Czechoslovak Mathematical Journal},
keywords = {Kleinecke-Shirokov theorem; generalized commutator},
language = {eng},
number = {3},
pages = {817-822},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a Kleinecke-Shirokov theorem},
url = {http://eudml.org/doc/298213},
volume = {71},
year = {2021},
}
TY - JOUR
AU - Lauric, Vasile
TI - On a Kleinecke-Shirokov theorem
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 3
SP - 817
EP - 822
AB - 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.
LA - eng
KW - Kleinecke-Shirokov theorem; generalized commutator
UR - http://eudml.org/doc/298213
ER -
References
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