Linear maps preserving the minimum and surjectivity moduli of Hilbert space operators

DOI10.1016/J.JMAA.2009.05.007zbMath1165.47025OpenAlexW2079605383MaRDI QIDQ2389259

Haïkel Skhiri

Publication date: 15 July 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.05.007

zbMATH Keywords

unitary operatorsminimum moduluslinear preserversright spectrumsurjectivity modulusleft spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (3)

Minimum and surjectivity moduli preserving in Banach space ⋮ Unnamed Item ⋮ Nonlinear maps preserving the minimum and surjectivity moduli

Cites Work

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• Spectrum-preserving linear maps
• Linear preserver problems: A brief introduction and some special techniques
• Linear maps between Banach algebras compressing certain spectral functions
• Additive mappings preserving operators of rank one
• Linear maps preserving the minimum and surjectivity moduli of operators
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• The minimum modulus of a linear operator and its use in spectral theory
• Invertibility preserving linear maps on ℒ(𝒳)
• Rank-preserving linear maps on B(X)
• Spectral theory of linear operators and spectral systems in Banach algebras

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