Maps preserving the square zero of η-Lie product of operators

DOI10.22199/issn.0717-6279-2020-03-0036OpenAlexW3034104717MaRDI QIDQ5145904

Masoomeh Yousefi, Ali Taghavi, Roja Hosseinzadeh

Publication date: 22 January 2021

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

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-2020-03-0036

zbMATH Keywords

preserver problem\( \eta \)-Lie productsquare zero operator

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Cites Work

• Unnamed Item
• A note on strong \(\eta \)-Lie products preserving maps on some algebras
• Nonlinear maps preserving Lie products on factor von Neumann algebras
• General preservers of invariant subspace lattices
• Linear maps preserving idempotency of products or triple Jordan products of operators
• Maps completely preserving idempotents and maps completely preserving square-zero operators
• Maps preserving the idempotency of products of operators
• Mappings that preserve pairs of operators with zero triple Jordan product
• Maps preserving the dimension of fixed points of products of operators
• Maps preserving the fixed points of sum of operators
• Mappings preserving zero products
• Non-linear Jordan triple automorphisms of sets of self-adjoint matrices and operators

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