A note on local automorphisms
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 981-986.

Voir la notice de l'article dans Czech Digital Mathematics Library

Let $H$ be an infinite-dimensional almost separable Hilbert space. We show that every local automorphism of $\mathcal B(H)$, the algebra of all bounded linear operators on a Hilbert space $H$, is an automorphism.
Classification : 46L40, 47B48
Mots-clés : automorphism; local automorphism; algebra of operators on a Hilbert space
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     author = {Fo\v{s}ner, Ajda},
     title = {A note on local automorphisms},
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Fošner, Ajda. A note on local automorphisms. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 981-986. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_3_a16/