Maps preserving the idempotency of products of operators

DOI10.1016/j.laa.2007.03.030zbMath1131.47036OpenAlexW3147141315MaRDI QIDQ996219

Li Fang, Yongfeng Pang, Guo Xing Ji

Publication date: 13 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.03.030

zbMATH Keywords

idempotentsproduct of operatorspreservers

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Maps preserving the fixed points of triple Jordan products of operators, On properties of generalized quadratic operators, Maps on infinite triangular matrices preserving idempotents, Maps preserving the dimension of fixed points of products of operators, Maps preserving a certain product of operators, Characterizations and representations of the group inverse involving idempotents, Maps preserving the ascent and descent of product of operators, A characterization of an isomorphism, Linear maps preserving idempotency of products or triple Jordan products of operators, Maps preserving the square zero of η-Lie product of operators, Maps preserving 2-idempotency of certain products of operators, Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices, Mappings preserving the idempotency of products of operators, Maps preserving operator pairs whose products are projections, Nonlinear commutant preservers, Local spectral subspace preservers, Characterizations of automorphisms of operator algebras on Banach spaces, Maps that preserve the local spectral subspace of generalized product of operators

Cites Work

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• Some general techniques on linear preserver problems
• Maps preserving numerical ranges of operator products
• On locally linearly dependent operators and derivations