8 citations · 11 across the 9 of their papers we have counts for
10 papers
-existence families, -semigroups and their associated abstract Cauchy problems in complete random normed modules
Xia Zhang, Leilei Wei, Ming Liu
In this paper, we first introduce the notion of a (mild) -existence family in complete random normed modules, then we prove that a (mild) -existence family can guarantee the…
A Laplace transform approach to -semigroups on a -complete random normed module
Xia Zhang, Leilei Wei, Ming Liu
In this paper, we first introduce the notion of the Laplace transform for an abstract-valued function from to a -complete random normed…
A dual representation theorem on the conditional Orlicz space generated from a random normed module
Xia Zhang, Ke Qian, Ming Liu
In this paper, we first introduce the notion of a random Orlicz function, and further present the conditional Orlicz space generated from a random normed module. Second, we prove t…
The Radon-Nikodm property of -Banach spaces and the dual representation theorem of -Bochner function spaces
Xia Zhang, Xiangle Yan, Ming Liu
In this paper, we first introduce --measurable functions and -Bochner integrable functions on a finite measure space and give an $\m…
Improved tests of genuine entanglement for multiqudits
Xia Zhang, Naihuan Jing, Hui Zhao +2
We give an improved criterion of genuine multipartite entanglement for an important class of multipartite quantum states using generalized Bloch representations of the density matr…
On monogamy and polygamy relations of multipartite systems
Xia Zhang, Naihuan Jing, Ming Liu +1
We study the monogamy and polygamy relations related to quantum correlations for multipartite quantum systems in a unified manner. It is known that any bipartite measure obeys mono…
Trotter-Kato Approximations of Impulsive Neutral SPDEs in Hilbert Spaces
Ming Liu, Lingfei Dai, Xia Zhang
This paper studies a class of impulsive neutral stochastic partial differential equations in real Hilbert spaces. The main goal here is to consider the Trotter-Kato approximations…
R-Matrix presentation of quantum affine algebra in type
Naihuan Jing, Xia Zhang, Ming Liu
In this paper, we give an RTT presentation of the twisted quantum affine algebra of type and show that it is isomorphic to the Drinfeld new realization via the Gau…
Trotter-Kato approximations of semilinear stochastic evolution equations in Hilbert spaces
Xia Zhang, Lingfei Dai, Ming Liu
Motivated by the work of T.E. Govindan in [5,8,9], this paper is concerned with a more general semilinear stochastic evolution equation. The difference between the equations consid…
The Hille-Yosida generation theorem for almost surely bounded --semigroups of continuous module homomorphisms
Xia Zhang, Ming Liu, Tiexin Guo
In this paper, we first study some properties peculiar to --semigroups of continuous module homomorphisms and give a characterization for such a --semigroup to be alm…