On linear transformations preserving at least one eigenvalue

DOI10.1090/S0002-9939-03-07262-9zbMath1041.15001OpenAlexW1548713421MaRDI QIDQ4461146

Saieed Akbari, Masood Aryapoor

Publication date: 29 March 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-03-07262-9

zbMATH Keywords

linear transformationmatrix algebrapreserving eigenvalue

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items

On local irreducibility of the spectrum, Surjective linear maps preserving certain spectral radii, Unnamed Item, Holomorphic maps preserving parts of the local spectrum, Non-surjective spectral isometries on matrix spaces, Local spectrum linear preservers at non-fixed vectors, A Cartan type theorem for finite-dimensional algebras, Linear maps compressing the polynomial numerical hulls of matrices, Pairs of linear maps on matrix spaces preserving products equal to fixed elements, Surjective linear maps preserving local spectra