Geodesic
A note on local automorphisms
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 981-986 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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
Keywords: automorphism; local automorphism; algebra of operators on a Hilbert space 
@article{CMJ_2006_56_3_a16,
     author = {Fo\v{s}ner, Ajda},
     title = {A note on local automorphisms},
     journal = {Czechoslovak Mathematical Journal},
     pages = {981--986},
     year = {2006},
     volume = {56},
     number = {3},
     mrnumber = {2261670},
     zbl = {1164.47334},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006_56_3_a16/}
}
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Fošner, Ajda. A note on local automorphisms. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 3, pp. 981-986. http://geodesic.mathdoc.fr/item/CMJ_2006_56_3_a16/