Algebraic reflexivity of isometries on spaces of continuously differentiable functions

DOI10.1007/s11587-021-00593-1OpenAlexW3170998888MaRDI QIDQ2147960

Abdullah Bin Abu Baker, Rahul Kumar Maurya

Publication date: 21 June 2022

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-021-00593-1

zbMATH Keywords

surjective isometriesalgebraic reflexivitycontinuously differentiable function spaces

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Isometric theory of Banach spaces (46B04)

Cites Work

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• Local derivations
• Reflexivity of the automorphism and isometry groups of \(C^*\)-algebras in BDF theory
• Algebraic reflexivity of the isometry group of some spaces of Lipschitz functions
• Reflexivity, Algebraic Reflexivity and Linear Interpolation
• Reflexivity of the group of surjective isometries on some Banach spaces
• Reflexivity of isometries of order $n$

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