Generalized Jordan Semitriple Maps on Hilbert Space Effect Algebras

Qing Yuan and Kan He

Advances in Mathematical Physics, 2014, vol. 2014, issue 1

Abstract: Let ℰ(H) be the Hilbert space effect algebra on a Hilbert space H with dim⁡H ≥ 3, α, β two positive numbers with 2α + β ≠ 1 and Φ : ℰ(H) → ℰ(H) a bijective map. We show that if Φ(AαBβAα) = Φ(A) αΦ(B) βΦ(A) α holds for all A, B ∈ ℰ(H), then there exists a unitary or an antiunitary operator U on H such that Φ(A) = UAU* for every A ∈ ℰ(H).

Date: 2014
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https://doi.org/10.1155/2014/216713

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:216713

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