The theory of isometries in the framework of Banach spaces has its beg... - dofaq.co
aleksandrov–rassias problem

The theory of isometries in the framework of Banach spaces has its beg...

wikipedia - 09 Jul 2015
The theory of isometries in the framework of Banach spaces has its beginning in a paper by Stanisław Mazur and Stanisław M. Ulam in 1932. They proved that each isometry of a normed real linear space onto a normed real linear space is a linear mapping up to translation. In 1970, Aleksandr Danilovich Aleksandrov asked whether the existence of a single conservative distance for some mapping implies that it is an isometry. Themistocles M. Rassias posed the following problem:

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