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Convergence Theorems for Operators Sequences on Functionals of Discrete-Time Normal Martingales
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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 S⁎(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.
American Psychological Association (APA)
Chen, Jinshu. 2018. Convergence Theorems for Operators Sequences on Functionals of Discrete-Time Normal Martingales. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1186657
Modern Language Association (MLA)
Chen, Jinshu. Convergence Theorems for Operators Sequences on Functionals of Discrete-Time Normal Martingales. Journal of Function Spaces No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1186657
American Medical Association (AMA)
Chen, Jinshu. Convergence Theorems for Operators Sequences on Functionals of Discrete-Time Normal Martingales. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1186657
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186657