Normal-Preserving Linear Mappings
Canadian mathematical bulletin, Tome 37 (1994) no. 3, pp. 306-309
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Let H be a Hilbert space, dim H ≥ 3, and B(H) the algebra of all bounded linear operators on H. We characterize bijective linear mappings on B(H) that preserve normal operators.
Brešar, Matej; Šemrl, Peter. Normal-Preserving Linear Mappings. Canadian mathematical bulletin, Tome 37 (1994) no. 3, pp. 306-309. doi: 10.4153/CMB-1994-046-1
@article{10_4153_CMB_1994_046_1,
author = {Bre\v{s}ar, Matej and \v{S}emrl, Peter},
title = {Normal-Preserving {Linear} {Mappings}},
journal = {Canadian mathematical bulletin},
pages = {306--309},
year = {1994},
volume = {37},
number = {3},
doi = {10.4153/CMB-1994-046-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-046-1/}
}
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