International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 3, Pages 149-162
doi:10.1155/S016117120000291X

Tauberian operators in p-adic analysis

Abstract

In archimedean analysis Tauberian operators and operators having property N were defined by Kalton and Wilansky (1976). We give several characterizations of p-adic Tauberian operators and operators having property N in terms of basic sequences. And, as its applications, we give some equivalent relations between these operators and p-adic semi-Fredholm operators.