Maps on idempotents

DOI10.4064/sm169-1-2zbMath1088.47030OpenAlexW2043439287MaRDI QIDQ4667539

Peter Šemrl

Publication date: 20 April 2005

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm169-1-2

zbMATH Keywords

idempotentsorthogonalitypartial ordercommutativitypreservers

Mathematics Subject Classification ID

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

Related Items (14)

Maps on matrix spaces ⋮ Surjective Jordan maps and Jordan triple maps ⋮ Wigner-type theorems for projections ⋮ Maps preserving the ascent and descent of product of operators ⋮ Maps on essentially infinite idempotent operators ⋮ Zero product preserving maps on matrix rings over division rings ⋮ Completely square-zero preserving maps on ⋮ Maps leaving functional values of operator products invariant ⋮ Pseudospectra of special operators and pseudospectrum preservers ⋮ Maps on idempotent matrices over division rings ⋮ Maps completely preserving idempotents and maps completely preserving square-zero operators ⋮ Mappings preserving the idempotency of products of operators ⋮ Maps on idempotent operators with infinite-dimensional kernel ⋮ Similarity Jordan multiplicative maps

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