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
Mots-clés : 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}, publisher = {mathdoc}, volume = {56}, number = {3}, year = {2006}, mrnumber = {2261670}, zbl = {1164.47334}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_3_a16/} }
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/