Glasnik matematički, Vol. 35 No. 2, 2000.
Original scientific paper
On the strict topology in non-archimedean spaces of continuous functions
A. K. Katsaras
Abstract
The strict topology, on the space C(X,E) of all continuous functions on a toplogical space X with values in a non-Archimedean locally convex space E, is introduced and several of its properties are investigated. The dual spaces of C(X,E), under the strict topology and under the bounding convergence topology, turn out to be certain spaces of E'-valued measures.
Keywords
Nachbin families; weighted spaces; strict topology; non-Archimedean seminorms; bounding sets
Hrčak ID:
4878
URI
Publication date:
1.12.2000.
Visits: 750 *