Any isometry between the spheres of absolutely smooth 2-dimensional Banach spaces is linear
نویسندگان
چکیده
We prove that any isometry between the unit spheres of $C^2$-smooth (more generally, absolutely smooth) smooth Banach spaces extends to a linear spaces. This answers famous Tingley's problem in class $2$-dimensional
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2021
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125104