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Local automorphisms of nest subalgebras of factor von Neumann algebras
- Source :
-
Linear Algebra & its Applications . Jun2005, Vol. 402, p335-344. 10p. - Publication Year :
- 2005
-
Abstract
- Abstract: In this paper, it is proved that every surjective weakly continuous linear local automorphism of nest subalgebras with non-trivial nests of factor von Neumann algebras is an automorphism; and that every surjective linear 2-local automorphism of nest algebras with non-trivial nests of factor von Neumann algebras is an automorphism. [Copyright &y& Elsevier]
- Subjects :
- *VON Neumann algebras
*HILBERT space
*MATHEMATICAL analysis
*AUTOMORPHISMS
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 402
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 17059112
- Full Text :
- https://doi.org/10.1016/j.laa.2005.01.005