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Localization of Unbounded Operators on Guichardet Spaces 被引量:2
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作者 Jihong Zhang Caishi Wang Lina Tian 《Journal of Applied Mathematics and Physics》 2015年第7期792-796,共5页
As stochastic gradient and Skorohod integral operators, is an adjoint pair of unbounded operators on Guichardet Spaces. In this paper, we define an adjoint pair of operator , where with being the conditional expectati... As stochastic gradient and Skorohod integral operators, is an adjoint pair of unbounded operators on Guichardet Spaces. In this paper, we define an adjoint pair of operator , where with being the conditional expectation operator. We show that (resp.) is essentially a kind of localization of the stochastic gradient operators (resp. Skorohod integral operators δ). We examine that and satisfy a local CAR (canonical ani-communication relation) and forms a mutually orthogonal operator sequence although each is not a projection operator. We find that is s-adapted operator if and only if is s-adapted operator. Finally we show application exponential vector formulation of QS calculus. 展开更多
关键词 Stochastic GRADIENT OPERATOR Skorohod INTEGRAL OPERATOR LOCALIZATION ex-ponential Vector Guichardet SPACES
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