1. Local automorphisms of real B(X).
- Author
-
Rakhimov, Abdugafur Abdumadjidovich and Nazarov, Khasanbek Avazbekogli
- Subjects
BANACH spaces ,AUTOMORPHISMS ,LINEAR operators ,ALGEBRA - Abstract
In the paper local and 2-local *-automorphisms on real algebra B(X) of all bounded linear operators on a real Banach space are considered. In particular, 2-local *-automorphisms of real W*-algebra B(H
r ) is described. Namely, it is proved that on real W*-algebra B(Hr ) each *-automorphism is an inner and any 2-local *-automorphism is a *-automorphism. Moreover, it is proved that if X is a real Banach spaces and θ : B(X)→B(X) is a local automorphism, then θ is an automorphism. [ABSTRACT FROM AUTHOR]- Published
- 2023
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