Jordan product and fixed points preservers

DOI10.22199/issn.0717-6279-5375MaRDI QIDQ6168624

M'hamed El Hodaibi, Soufiane Elouazzani

Publication date: 11 July 2023

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

zbMATH Keywords

fixed pointspreserverJordan product

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Local spectral properties of linear operators (47A11)

Related Items

Nonlinear maps preserving certain subspaces of Lie product of operators

Cites Work

• Maps preserving the fixed points of triple Jordan products of operators
• Maps preserving the nilpotency of products of operators
• General preservers of invariant subspace lattices
• Linear preserver problems: A brief introduction and some special techniques
• Some general techniques on linear preserver problems
• Maps preserving the inner local spectral radius zero of generalized product of operators
• Maps preserving the dimension of fixed points of products of operators
• Linear maps that preserve the commutant, double commutant or the lattice of invariant subspaces
• Maps preserving fixed points of generalized product of operators