Mappings preserving the idempotency of products of operators

DOI10.1080/03081080903132593zbMath1216.47071OpenAlexW2093544323MaRDI QIDQ3060023

Tatjana Petek

Publication date: 30 November 2010

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080903132593

zbMATH Keywords

idempotentproduct of operatorsidempotency preserving

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Basic linear algebra (15A99) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

On the some spectral domains in the spectrum preserves, Maps preserving the local spectrum of Jordan product of matrices, Nonlinear fixed points preservers, Maps preserving 2-idempotency of certain products of operators, Maps preserving the local spectrum of triple product of operators, Preservers of local spectrum of matrix Jordan triple products

Cites Work

• Maps preserving the nilpotency of products of operators
• Linear maps preserving idempotency of products or triple Jordan products of operators
• Maps preserving the idempotency of products of operators
• Mappings that preserve pairs of operators with zero triple Jordan product
• Mappings on matrices: invariance of functional values of matrix products
• Mappings preserving spectra of products of matrices
• Maps on idempotents
• Product of operators and numerical range preserving maps