Śliwa, WiesławZiemkowska, Agnieszka2013-02-052013-02-052012-05J. Convex Anal., 19(2012), 453-466http://hdl.handle.net/10593/4324The non-archimedean power series spaces Ap(a; t) are the most known and important examples of non-archimedean nuclear Frechet spaces. We study when the spaces Ap(a; t) and Aq(b; s) are isometrically isomorphic. Next we determine all linear isometries on the space Ap(a; t) and show that all these maps are surjective.ennon-archimedean power series spacelinear isometrySchauder basis