Maps preserving the fixed points of triple Jordan products of operators

DOI10.1016/j.indag.2016.03.003zbMath1359.47033OpenAlexW2311590807MaRDI QIDQ298003

Roja Hosseinzadeh, Ali Taghavi, Vahid Darvish

Publication date: 20 June 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2016.03.003

zbMATH Keywords

fixed pointJordan triple productpreserver problem

Mathematics Subject Classification ID

Algebras of operators on Banach spaces and other topological linear spaces (47L10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Continuous maps preserving Jordan triple products from \(\mathbb{U}_n\) to \(\mathbb{D}_m\), MAPS PRESERVING THE COINCIDENCE POINTS OF OPERATORS, Continuous maps preserving Jordan triple products from \(\mathbb{GL}_n(\mathbb{C})\) into \(\mathbb{C}^\ast\), Jordan product and fixed points preservers, Nonlinear fixed points preservers, Continuous maps preserving Jordan triple products from 𝔾𝕃₁to 𝔾𝕃₂and 𝔾𝕃₃, Maps preserving fixed points of generalized product of operators

Cites Work

• Maps preserving the nilpotency of products of operators
• General preservers of invariant subspace lattices
• Linear maps preserving idempotency of products or triple Jordan products of operators
• Maps preserving the idempotency of products of operators
• Maps preserving the dimension of fixed points of products of operators
• LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS
• Two characterizations of automorphisms on B(X)
• Jordan isomorphisms and maps preserving spectra of certain operator products