random operator, bounded random operator, domain of extension, action on random inputs.
Issue Date:
2009
Publisher:
Tạp chí Khoa học
Citation:
237-248
Abstract:
In this paper, we introduce a method of extending the domain of a random mapping admitting the series expansion. This method is based on the convergence of certain random series. Some conditions under which a random mapping can be extended to apply to all $X$ - valued random variables will be presented.