Surjective isometries on the vector-valued differentiable function spaces

DOI10.1016/j.jmaa.2015.02.068zbMath1337.46009OpenAlexW2774724173MaRDI QIDQ2343203

Risheng Wang, Lei Li

Publication date: 4 May 2015

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.2015.02.068

zbMATH Keywords

surjective isometriesBanach-Stone theoremsspaces of vector-valued differentiable functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Isometric theory of Banach spaces (46B04)

Related Items (6)

On local isometries between algebras of \(C(Y)\)-valued differentiable maps ⋮ Banach-Stone theorem for isometries on spaces of vector-valued differentiable functions ⋮ Surjective isometries on the Banach algebra of continuously differentiable maps with values in Lipschitz algebra ⋮ Surjective isometries on \(C^1\) spaces of uniform algebra valued maps ⋮ Surjective isometries on vector-valued differentiable function spaces ⋮ Isometries between spaces of vector-valued differentiable functions

Cites Work

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• Geometry of Banach spaces. Selected topics
• Linear isometric operators on the \(C_ 0^{(n)}(X)\) type spaces
• Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity
• Surjective isometries on spaces of differentiable vector-valued functions
• Isometries Between Function Spaces
• A Generalized Banach-Stone Theorem
• Functional analysis and infinite-dimensional geometry

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