Point-spectrum-preserving elementary operators on 𝐵(𝐻)

DOI10.1090/S0002-9939-98-04313-5zbMath0894.47027MaRDI QIDQ4387091

Qin Wang, Jin-Chuan Hou

Publication date: 6 May 1998

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

zbMATH Keywords

point spectrumelementary operator

Mathematics Subject Classification ID

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

Related Items (13)

Similarity preserving linear maps on upper triangular matrix algebras ⋮ Linear maps between Banach algebras compressing certain spectral functions ⋮ Maps preserving the spectrum of generalized Jordan product of operators ⋮ Certain structure of Similarity-preserving linear maps ⋮ 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 ternary characterization of automorphisms of \({\mathbb B}({\mathcal H})\) ⋮ A characterization of homomorphisms between Banach algebras ⋮ Characterizing isomorphisms in terms of completely preserving invertibility or spectrum ⋮ Similarity-preserving linear maps on \({\mathcal B}({\mathcal H})\)

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