International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 3, Pages 149-162
Tauberian operators in -adic analysis
Faculty of Education, Shizuoka University, Ohya, Shizuoka 422-8529, Japan
Received 6 January 1999
Copyright © 2000 Takemitsu Kiyosawa. 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.
In archimedean analysis Tauberian operators and operators having
property were defined by Kalton and Wilansky (1976). We give
several characterizations of -adic Tauberian operators and
operators having property in terms of basic sequences. And, as
its applications, we give some equivalent relations between these
operators and -adic semi-Fredholm operators.