Surjective isometries on the Banach algebra of continuously differentiable maps with values in Lipschitz algebra

DOI10.1007/S44146-023-00066-XOpenAlexW4323050289MaRDI QIDQ6111865

Daisuke Hirota

Publication date: 4 August 2023

Published in: Acta Scientiarum Mathematicarum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44146-023-00066-x

zbMATH Keywords

surjective isometryfunction spaceLipschitz function

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Lipschitz (Hölder) classes (26A16) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

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• Surjective isometries on \(C^1\) spaces of uniform algebra valued maps
• Surjective isometries on the vector-valued differentiable function spaces
• Banach-Stone theorem for isometries on spaces of vector-valued differentiable functions
• Surjective isometries between function spaces
• Isometries on Banach algebras of vector-valued maps
• Surjective isometries on spaces of differentiable vector-valued functions
• Isometries of certain Banach algebras
• Linear isometries of some function spaces

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