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- W2789576680 abstract "This paper investigates the surjective (not necessarily linear) isometries between spaces of absolutely continuous vector-valued functions with respect to the norm ‖ ⋅ ‖ = max { ‖ ⋅ ‖ ∞ , V ( ⋅ ) } , where ‖ ⋅ ‖ ∞ and V ( ⋅ ) denote the supremum norm and the total variation of a function, respectively, and gives an absolutely continuous version of a celebrated theorem by Jerison. As a consequence, in the scalar-valued case, we obtain generalizations of all known results concerning such isometries by a different approach." @default.
- W2789576680 created "2018-03-29" @default.
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- W2789576680 date "2018-07-01" @default.
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- W2789576680 title "Isometries on spaces of absolutely continuous vector-valued functions" @default.
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- W2789576680 doi "https://doi.org/10.1016/j.jmaa.2018.03.037" @default.
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