On linear isometries on non-archimedean powerseries spaces
Loading...
Date
2012-05
Authors
Advisor
Editor
Journal Title
Journal ISSN
Volume Title
Publisher
Title alternative
Abstract
The 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.
Description
Sponsor
National Centre of Science, Poland (grants no. N N201 605340; no. N N201 610040)
Keywords
non-archimedean power series space, linear isometry, Schauder basis
Citation
J. Convex Anal., 19(2012), 453-466