Convergence Theorems for Operators Sequences on Functionals of Discrete-Time Normal Martingales

doi:10.1155/2018/8430975

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	Convergence Theorems for Operators Sequences on Functionals of Discrete-Time Normal Martingales
	Chen, Jinshu
刊名	JOURNAL OF FUNCTION SPACES
	2018
卷号	2018
ISSN号	2314-8896
DOI	10.1155/2018/8430975
英文摘要	We aim to investigate the convergence of operators sequences acting on functionals of discrete-time normal martingales M. We first apply the 2D-Fock transform for operators from the testing functional space S(M) to the generalized functional space delta*(M) and obtain a necessary and sufficient condition for such operators sequences to be strongly convergent. We then discuss the integration of these operator-valued functions. Finally, we apply the results obtained here and establish the existence and uniqueness of solution to quantum stochastic differential equations in terms of operators acting on functionals of discrete-time normal martingales M. And also we prove the continuity and continuous dependence on initial values of the solution.
资助项目	National Natural Science Foundation of China[11461061][11761047]
WOS研究方向	Mathematics
语种	英语
出版者	HINDAWI LTD
WOS记录号	WOS:000425541300001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32844]
专题	理学院
通讯作者	Chen, Jinshu
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Chen, Jinshu. Convergence Theorems for Operators Sequences on Functionals of Discrete-Time Normal Martingales[J]. JOURNAL OF FUNCTION SPACES,2018,2018.
APA	Chen, Jinshu.(2018).Convergence Theorems for Operators Sequences on Functionals of Discrete-Time Normal Martingales.JOURNAL OF FUNCTION SPACES,2018.
MLA	Chen, Jinshu."Convergence Theorems for Operators Sequences on Functionals of Discrete-Time Normal Martingales".JOURNAL OF FUNCTION SPACES 2018(2018).