Automatic Continuity of Separating Linear Isomorphisms
Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 139-144
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A linear map A : C(T) → C(S) is called separating if f • g ≡ 0 implies Af • Ag = 0. We describe the general form of such maps and prove that any separating isomorphism is continuous.
Jarosz, Krzysztof. Automatic Continuity of Separating Linear Isomorphisms. Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 139-144. doi: 10.4153/CMB-1990-024-2
@article{10_4153_CMB_1990_024_2,
author = {Jarosz, Krzysztof},
title = {Automatic {Continuity} of {Separating} {Linear} {Isomorphisms}},
journal = {Canadian mathematical bulletin},
pages = {139--144},
year = {1990},
volume = {33},
number = {2},
doi = {10.4153/CMB-1990-024-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-024-2/}
}
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