Linear Maps on Selfadjoint Operators Preserving Invertibility, Positive Definiteness, Numerical Range
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Publication:4431200
DOI10.4153/CMB-2003-022-3zbMath1056.47018MaRDI QIDQ4431200
Chi-Kwong Li, Peter Šemrl, Leiba Rodman
Publication date: 13 October 2003
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
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𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps ⋮ Linear preservers of higher rank numerical ranges and radii ⋮ Preservers of restricted unitary orbits of projections ⋮ Schur product of matrices and numerical radius (range) preserving maps ⋮ Linear maps preserving invertibility or related spectral properties ⋮ Properties and preservers of the pseudospectrum ⋮ Linear preservers of equivalence relations on infinite-dimensional spaces ⋮ Pseudospectra of special operators and pseudospectrum preservers ⋮ Multiplicative maps preserving the higher rank numerical ranges and radii ⋮ Linear maps transforming the higher numerical ranges ⋮ On convolution products and automorphisms in Hopf \(C^*\)-algebras ⋮ ON THE RELATION BETWEEN THE VEC AND BEKK MULTIVARIATE GARCH MODELS ⋮ Two distance preservers of generalized numerical radii ⋮ Maps preserving the spectrum of polynomial products of matrices ⋮ Mappings preserving spectra of products of matrices ⋮ On operators preserving James' orthogonality
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