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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Towards a zero-one law for improvements to Dirichlet's approximation theorem
Dirichlet近似定理 改进 零一定律
2023/5/10
In this talk we discuss a notion of $\psi$-Dirichlet in Diophantine approximation which concerns improving Dirichlet’s approximation theorem to a general approximating function $\psi$. This notion was...
An approximation theorem for nuclear operator systems
operator system tensor product nuclear
2010/12/6
We prove that an operator system S is nuclear in the category of operator systems if and only if there exist nets of unital completely positive maps ' : S → Mnand : Mn → S such that ◦ '...
Equi-Statistical Extension of the Korovkin Type Approximation Theorem
Equi-statistical convergence positive linear operator Korovkin type theorem
2010/2/25
In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construc...
The Approximation Theorem of Convolution Operator in Δ~p Set-valued Function Space
Set-valued function random set convolution operator
2007/12/11
The paper is a contribution to the problem of approximating random set with values in a separable Banach space. This class of set-valued function is widely used in many areas. We investigate the prope...