尽管良性有界算子理论已经建立，但仍有许多未解决的有意义的问题。
Although the theory of well bounded operators is well established, there are a number of unresolved and interesting questions which are potentially fruitful areas for further research.
良有界算子是这样一类算子，它对于在某个紧区间上绝对连续的函数具有有界的函数演算。
Well-bounded operators are those which possess a bounded functional calculus for the absolutely continuous functions on some compact intervals.
在双倍测度下，次线性算子有界性问题的研究起到非常重要的作用。
For doubling measure, the boundedness of the sub-linear operator plays an important role in many problems.
特别的，我们得到了分数次积分算子的有界性。
As special cases, we obtain the boundedness of fractional operators.
定理3X是囿空间的充要条件为：每个从X到Y的一致有界的线性算子族都是等度连续的。
Theorem 3 X is a bornologic space if and only if every uniformly bounded set of linear operators from X to Y is equicontinuous.
提出一种新的神经网络模型—时滞标准神经网络模型(DSNNM)，它由线性动力学系统和有界静态时滞非线性算子连接而成。
A novel neural network model, named delayed standard neural network model (DSNNM), is proposed, which is the interconnection of a linear dynamic system and a bounded static delayed nonlinear operator.
系统的哈密顿函数是作为矩阵微分算子的狄拉克算子，它不是半有界的。
The Hamiltonian of the system is the Driac operator which as a matrix differential operator is not semibounded from below.
这里，算子B满足较弱的条件如B本征有界。
Here, operator B satisfies relative weak conditions such as B satisfies essence bounded.
结论算子范数对于估计有界线性算子乘积与和的谱半径是至关重要的。
Conclusion Norm of operator is very important to estimate the spectral radius of operator.
本文证明了赋范线性空间中有界齐性算子与在零点连续的齐性算子等价。
In this paper, the equivalent relation of boundedness and continuity at zero for homogeneous operator in normal linear space is proved.
表示出了一类赋准范空间的随机对偶空间，并证明这类赋准范空间之间，几乎处处有界线性算子所组成空间的完备性。
The random dual Spaces of a class of quasi-normed Spaces is given. The completeness of the Spaces having bounded operators all most everywhere has also been proved.
最后，我们给出有界齐性算子空间在算子广义逆问题上的应用。
Finally, the application of bounded homogeneous operator space to generalized inverses of operator are given in this paper as well.
本文研究积分双半群与有界线性算子双半群的关系。
The relationship between integrated bisemigroups and bisemigroups of linear bounded operators is investigated.
研究了广义零程粒子系统生成元的局部有界性和系统生成元预解算子的局部散逸性。
This paper studies the locally bounded property of a generalized infinite particle system with zero range interactions and the dissipation of the resolvent operator of the system generator.
利用有界线性算子半群，引入了一新的局部凸向量拓扑，并对其基本性质进行了讨论。
By using the semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.
用球调和的方法研究了一类乘积空间上奇异积分算子的有界性，所获得的结果给出了以往奇异积分算子有界性的应用。
By using the method of spherical harmonic, the boundedness of a kind of singular integral operator in product domains is given in this paper.
借助于L 2空间上算子的可逆性及有界性，给出了输入输出框架下系统类梯度性的讨论。
By using the invertibility and boundedness of the operators in L2 space, the discussion of gradient-like of the system characterized by input output description is given.
研究了广义零程粒子系统生成元的局部有界性和系统生成元预解算子的局部散逸性。
Range structure for the resolvent operator of the generator of a generalized infinite particle system with zero range interactions;
证明了模糊赋范空间上有界线性算子的一个保范延拓定理。
Naught space properties of compact linear operator in normed space;
本文给出了U -标算子经连续算子演算后有界的充分条件。
The sufficient conditions are given for the continuous calculus of U-scalar operators to be bounded.
应用有界线性算子半群理论证明一类成批服务系统的解的存在唯一性和非负性。
In this paper, by using C0-semigroup theory the existence of a unique positive time-dependent solution of a bulk service queue with finite waiting space is proved.
应用有界线性算子半群理论证明一类成批服务系统的解的存在唯一性和非负性。
In this paper, by using C0-semigroup theory the existence of a unique positive time-dependent solution of a bulk service queue with finite waiting space is proved.
应用推荐