Linear Mappings that Preserve Potent Operators

DOI10.2307/2160703zbMath0831.47026OpenAlexW4238939300MaRDI QIDQ4844418

Matjaž Omladič, Peter Šemrl

Publication date: 18 February 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160703

zbMATH Keywords

surjective linear mappingsalgebras of all linear bounded operatorspreserve potent operators in both directions

Mathematics Subject Classification ID

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

Related Items (9)

Additive mappings that preserve rank one nilpotent operators. ⋮ Linear maps on operator algebras that preserve elements annihilated by a polynomial ⋮ On linear maps that preserve G-partial-isometries in Hilbert space ⋮ Linear maps preserving essentially numerical range and essentially unitary operator ⋮ Linear maps preserving \(G\)-quasi-isometry operators ⋮ Maps preserving \(A^*A+AA^*\) on \(C^*\)-algebras ⋮ Additive mappings on von Neumann algebras preserving absolute values ⋮ Maps preserving Jordan triple product on the self-adjoint elements of C∗-algebras ⋮ Additive mappings on operator algebras preserving absolute values

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