Automatic Continuity of Separating Linear Isomorphisms
Canadian mathematical bulletin, Tome 33 (1990) no. 2, pp. 139-144

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DOI

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.
DOI : 10.4153/CMB-1990-024-2
Mots-clés : 46E15
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
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     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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