- Tytuł:
- The set of automorphisms of B(H) is topologically reflexive in B(B(H))
- Autorzy:
- Molnár, Lajos
- Powiązania:
- https://bibliotekanauki.pl/articles/1220333.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
reflexivity
automorphism
Jordan homomorphism
automatic surjectivity - Opis:
- The aim of this paper is to prove the statement announced in the title which can be reformulated in the following way. Let H be a separable infinite-dimensional Hilbert space and let Φ: B(H) → B(H) be a continuous linear mapping with the property that for every A ∈ B(H) there exists a sequence $(Φ_n)$ of automorphisms of B(H) (depending on A) such that $Φ(A)= lim_n Φ_n(A)$. Then Φ is an automorphism. Moreover, a similar statement holds for the set of all surjective isometries of B(H).
- Źródło:
-
Studia Mathematica; 1997, 122, 2; 183-193
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł