Spectrum-preserving elementary operators on \(B(X)\)

zbMath0918.47006MaRDI QIDQ1273112

Jin-Chuan Hou

Publication date: 19 August 1999

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

elementary operatorlinear preserver problemsinvertible operatorspectrum-compressingspectrum-preserving linear maps

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (10)

Similarity preserving linear maps on upper triangular matrix algebras ⋮ Linear maps between Banach algebras compressing certain spectral functions ⋮ Additive maps preserving m-normal eigenvalues on ℬ(ℋ) ⋮ Linear maps preserving products of positive or Hermitian matrices ⋮ Asymptotic similarity-preserving linear maps on \(\mathcal B\)(\(\mathcal H\)) ⋮ Additive maps on standard operator algebras preserving parts of the spectrum. ⋮ Linear maps preserving invertibility or related spectral properties ⋮ Additive maps between standard operator algebras compressing certain spectral functions ⋮ A characterization of homomorphisms between Banach algebras ⋮ Similarity-preserving linear maps on \({\mathcal B}({\mathcal H})\)

This page was built for publication: Spectrum-preserving elementary operators on \(B(X)\)