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The set of automorphisms of B(H) is topologically reflexive in B(B(H))

100%

Molnár L.

Studia Mathematica

1997

tom 122

nr 2

183-193

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).

On Jordan mappings of inverse semirings

88%

Shafiq S., Aslam M.

Open Mathematics

2017

tom 15

nr 1

1123-1131

In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.

Ograniczanie wyników

1 Open Mathematics

1 Studia Mathematica

1 Aslam M.

1 Molnár L.

1 Shafiq S.

1 2017

1 1997

Wyniki wyszukiwania

The set of automorphisms of B(H) is topologically reflexive in B(B(H))

On Jordan mappings of inverse semirings