On maps preserving skew symmetric operators
Filomat, Tome 36 (2022) no. 1, p. 243
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Given a conjugation C on a separable complex Hilbert space H, a bounded linear operator T on H is said to be C-skew symmetric if CTC = −T *. This paper describes the maps, on the algebra of all bounded linear operators acting on H, that preserve the difference of C-skew symmetric operators for every conjugation C on H
Classification :
47B49, 47B99
Keywords: Nonlinear preservers problem, Skew symmetric operators, Projections
Keywords: Nonlinear preservers problem, Skew symmetric operators, Projections
Zouheir Amara; Mourad Oudghiri; Khalid Souilah. On maps preserving skew symmetric operators. Filomat, Tome 36 (2022) no. 1, p. 243 . doi: 10.2298/FIL2201243A
@article{10_2298_FIL2201243A,
author = {Zouheir Amara and Mourad Oudghiri and Khalid Souilah},
title = {On maps preserving skew symmetric operators},
journal = {Filomat},
pages = {243 },
year = {2022},
volume = {36},
number = {1},
doi = {10.2298/FIL2201243A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2201243A/}
}
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