U. D. Vyas, "Isometries of a function space", International Journal of Mathematics and Mathematical Sciences, vol. 10, Article ID 185375, 5 pages, 1987. https://doi.org/10.1155/S0161171287000735
Isometries of a function space
It is proved here that an isometry on the subset of all positive functions of can be characterized by means of a function together with a Borel measurable mapping of , thus generalizing the Banach-Lamparti theorem of spaces.
Copyright © 1987 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.