Additive maps preserving the reduced minimum modulus of Banach space operators

zbMath1261.47056arXiv0910.0283MaRDI QIDQ3116323

Abdellatif Bourhim

Publication date: 22 February 2012

Full work available at URL: https://arxiv.org/abs/0910.0283

zbMATH Keywords

minimum modulusreduced minimum modulussurjectivity moduluslinear and additive preservers

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spectrum, resolvent (47A10) Linear operators on Banach algebras (47B48) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (10)

On nonlinear maps preserving the reduced minimum modulus on differences of matrices ⋮ The local reduced minimum modulus on a Hilbert space ⋮ Maps preserving the local reduced minimum modulus ⋮ Surjective maps preserving the reduced minimum modulus of products ⋮ Nonlinear maps preserving the reduced minimum modulus of operators ⋮ Unnamed Item ⋮ Additive maps preserving operators of inner local spectral radius zero ⋮ Nonlinear maps preserving the minimum and surjectivity moduli ⋮ Surjective linear maps preserving local spectra ⋮ On the pseudospectrum preservers

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