On linear isometries on non-archimedean powerseries spaces

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Date

2012-05

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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.

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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

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Uniwersytet im. Adama Mickiewicza w Poznaniu
Biblioteka Uniwersytetu im. Adama Mickiewicza w Poznaniu
Ministerstwo Nauki i Szkolnictwa Wyższego