Jordan automorphisms of triangular algebras. II

Driss Aiat Hadj Ahmed; Rachid Tribak

The search session has expired. Please query the service again.

Displaying similar documents to “Jordan automorphisms of triangular algebras. II”

2-local Jordan automorphisms on operator algebras

Ajda Fošner (2012)

Studia Mathematica

Similarity:

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.

A note on Jordan automorphisms

H. Roos (1985)

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

Similarity:

Automorphism Groups of Jordan C*-Algebras.

Harald Upmeier (1981)

Mathematische Zeitschrift

Similarity:

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

Gordan Savin (1994)

Inventiones mathematicae

Similarity:

Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra.

Driss, Aiat Hadj Ahmed, Ben Yakoub, L'Moufadal (2005)

International Journal of Mathematics and Mathematical Sciences

Similarity:

Isomorphisms of $H^{*}$ -triple systems

A. Castellón Serrano, J. A. Cuenca Mira (1992)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Similarity:

Klassifikation der einfachen reellen speziellen Jordan-Tripelsysteme.

Eberhard Neher (1980)

Manuscripta mathematica

Similarity:

The Jordan structure of CSL algebras

Fangyan Lu (2009)

Studia Mathematica

Similarity:

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.

Tame Automorphisms of ℂ³ with Multidegree of the Form (p₁,p₂,d₃)

Marek Karaś (2011)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

Let d₃ ≥ p₂ > p₁ ≥ 3 be integers such that p₁,p₂ are prime numbers. We show that the sequence (p₁,p₂,d₃) is the multidegree of some tame automorphism of ℂ³ if and only if d₃ ∈ p₁ℕ + p₂ℕ, i.e. if and only if d₃ is a linear combination of p₁ and p₂ with coefficients in ℕ.

Klassifikation der einfachen reellen Ausnahme-Jordan-Tripelsysteme.

Erhard Neher (1981)

Journal für die reine und angewandte Mathematik

Similarity:

Finiteness conditions in Jordan pairs.

Ottmar Loos (1991)

Mathematische Zeitschrift

Similarity:

Notes on automorphisms of ultrapowers of II₁ factors

David Sherman (2009)

Studia Mathematica

Similarity:

In functional analysis, approximative properties of an object become precise in its ultrapower. We discuss this idea and its consequences for automorphisms of II₁ factors. Here are some sample results: (1) an automorphism is approximately inner if and only if its ultrapower is ℵ₀-locally inner; (2) the ultrapower of an outer automorphism is always outer; (3) for unital *-homomorphisms from a separable nuclear C*-algebra into an ultrapower of a II₁ factor, equality of the induced traces...

Jordan superderivations and Jordan triple superderivations of superalgebras

He Yuan, Liangyun Chen (2016)

Colloquium Mathematicae

Similarity:

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.