Series representation of random mappings and their extension

Dang, Hung Thang
Tran, Manh Cuong
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. AMS Subject classification 2000: Primary $60H05$; Secondary: $60B11$, $60G57$, $60K37$, $37L55$.
Chi tiết xin mời tham khảo tại http://repository.vnu.edu.vn/handle/VNU_123/56740 
Title: Series representation of random mappings and their extension
Authors: Dang, Hung Thang
Tran, Manh Cuong
Keywords: random operator;bounded random operator;domain of extension;action on random inputs
Issue Date: 2009
Publisher: H. : ĐHQGHN
Series/Report no.: Vol. 25;No. 4 (2009)

Description: p. 237-248
URI: http://repository.vnu.edu.vn/handle/VNU_123/56740
ISSN: 2588-1124
Appears in Collections:Mathematics and Physics

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