General preservers of invariant subspace lattices

DOI10.1016/j.laa.2008.02.007zbMath1140.47026OpenAlexW2038361782MaRDI QIDQ927755

Shuanping Du, Gregor Dolinar, Peter Legiša, Jin-Chuan Hou

Publication date: 9 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.02.007

zbMATH Keywords

latticesnonlinear preserver problem

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on Banach algebras (47B48) Linear transformations, semilinear transformations (15A04)

Related Items (13)

Nonlinear Strong Commutativity Preserving Maps on Prime Rings ⋮ Maps preserving the fixed points of triple Jordan products of operators ⋮ Maps preserving a certain product of operators ⋮ On the some spectral domains in the spectrum preserves ⋮ Jordan product and fixed points preservers ⋮ Strong commutativity preserving maps on rings. ⋮ Maps preserving the square zero of η-Lie product of operators ⋮ Nonlinear fixed points preservers ⋮ Nonlinear maps preserving the local spectral subspace ⋮ Nonlinear commutant preservers ⋮ Properties and preservers of numerical radius on skew Lie products of operators ⋮ Local spectral subspace preservers ⋮ Maps preserving fixed points of generalized product of operators

Cites Work

• Maps on matrix spaces
• Linear interpolation and the elementary operators on \({\mathcal B}({\mathcal H})\)
• Über die Unbeschränktheit der Operatoren der Quantenmechanik
• Reflexivity, Algebraic Reflexivity and Linear Interpolation
• Linear maps preserving the isomorphism class of lattices of invariant subspaces
• Linear maps that preserve the commutant, double commutant or the lattice of invariant subspaces
• The Unboundedness of Quantum-Mechanical Matrices
• Unnamed Item

This page was built for publication: General preservers of invariant subspace lattices