A note on Jordan automorphisms

H. Roos

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Displaying similar documents to “A note on Jordan automorphisms”

2-local Jordan automorphisms on operator algebras

Ajda Fošner (2012)

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We investigate 2-local Jordan automorphisms on operator algebras. In particular, we show that every 2-local Jordan automorphism of the algebra of all n× n real or complex matrices is either an automorphism or an anti-automorphism. The same is true for 2-local Jordan automorphisms of any subalgebra of ℬ which contains the ideal of all compact operators on X, where X is a real or complex separable Banach spaces and ℬ is the algebra of all bounded linear operators on X.

Jordan automorphisms of triangular algebras. II

Driss Aiat Hadj Ahmed, Rachid Tribak (2015)

Commentationes Mathematicae Universitatis Carolinae

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We give a sufficient condition under which any Jordan automorphism of a triangular algebra is either an automorphism or an anti-automorphism.

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A. Rieckers, H. Roos (1989)

Annales de l'I.H.P. Physique théorique

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Finiteness conditions in Jordan pairs.

Ottmar Loos (1991)

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Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra.

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Cartan-Involution von halbeinfachen reellen Jordan-Tripelsystemen.

Eberhard Neher (1979)

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Von Neumann regularity in Jordan Banach triple systems

A. Fernández López, E. García Rus, E. Sánchez Campos (1989)

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Dual pair G... x PGL2 G... is the automorphism group of the Jordan algebra.

Gordan Savin (1994)

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Jordan superderivations and Jordan triple superderivations of superalgebras

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.

Automorphism Groups of Jordan C*-Algebras.

Harald Upmeier (1981)

Mathematische Zeitschrift

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The Jordan structure of CSL algebras

Fangyan Lu (2009)

Studia Mathematica

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We show that every Jordan isomorphism between CSL algebras is the sum of an isomorphism and an anti-isomorphism. Also we show that each Jordan derivation of a CSL algebra is a derivation.