### Grothendieck's theorem and factorization for operators in Jordan triples.

Cho-Ho Chu, Iochum Bruno, Guy Loupias (1989)

Mathematische Annalen

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Cho-Ho Chu, Iochum Bruno, Guy Loupias (1989)

Mathematische Annalen

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G. Schlüchtermann (1992)

Mathematische Annalen

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K. McCRIMMON (1971)

Mathematische Annalen

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Eero, Tylli, Hans-Olav Saksman (1994)

Mathematische Annalen

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Mehdi Radjabalipour (1985)

Mathematische Annalen

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Gamal', M.F. (2004)

Zapiski Nauchnykh Seminarov POMI

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Eberhard Neher (1979)

Mathematische Zeitschrift

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Adam Koranyi (1984)

Mathematische Annalen

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Lajos Molnár (2006)

Studia Mathematica

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We consider the so-called Jordan triple automorphisms of some important sets of self-adjoint operators without the assumption of linearity. These transformations are bijective maps which satisfy the equality ϕ(ABA) = ϕ(A)ϕ(B)ϕ(A) on their domains. We determine the general forms of these maps (under the assumption of continuity) on the sets of all invertible positive operators, of all positive operators, and of all invertible self-adjoint operators. ...

Ky Fan (1979)

Mathematische Annalen

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Shavkat Abdullaevich Ajupov (1982)

Mathematische Zeitschrift

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N.J. Kalton (1974)

Mathematische Annalen

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He Yuan, Liangyun Chen (2016)

Colloquium Mathematicae

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We study Jordan (θ,θ)-superderivations and Jordan triple (θ,θ)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A₀ ⊕ A₁ is a prime superalgebra with deg(A₁) ≥ 9, then Jordan superderivations and Jordan triple superderivations of A are superderivations of A, and generalized Jordan superderivations and generalized Jordan triple superderivations of A are generalized superderivations of A.

Günther Horn (1987)

Mathematische Zeitschrift

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Jean Dazord (1976)

Mathematische Annalen

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