查询词典 adjoint operator

Besides,we investigate the compatibility of the pair,where A is a bounded linear self-adjoint operator on a complex Hilbert space H and S is a closed subspace of H.

此外，对由一个自伴算子A和一个闭子空间S组成的元素对的兼容性进行了研究。

Ii Base on the compactness of C〓, we study the compactness of product operators of a composition operator with another one's adjoint on weighted Bergman spaces.

第二，在考虑单个复合算子C〓的紧性的基础上，进一步讨论了乘积算子C〓C〓和C〓C〓在加权Bergman空间A〓上的紧性问题。

Aimed to the differential equation in form of convolution and the functional presented by M. E. Gurtin, the matrix operator which includes the differential equation and the boundary condition is proved self-adjoint, furthermore a general variational principles in form of convolution and the preparation theorem are given and proved.

针对M.E.Gurtin提出的含卷积运算的抛物型偏微分方程及其对应的泛函，运用泛函势算子理论，从理论上证明了含卷积运算的抛物型偏微分方程及其边界条件所对应的矩阵算子有势，进而给出并证明了具有普适意义的含卷积运算的变分定理及预备定理。

We have obtained the following main significant results:(1) A master constraint operator for LQG is constructed, which is shown to be self-adjoint in the diffeomorphism invariant Hilbert space. Thus it lays a foundation for the master contraint programme in LQG;(2) The Immirzi parameter ambiguity in LQG is fixed by introducing supersymmetry, which leads to the conclusion that in the case where matter fields are coupled LQG might prefer supersymmetry in low energy;(3) The current accelerating expansion of our universe is successfully explained in the context of 5-dimensional Brans-Dicke theory, which gives a natural strategy to solve the dark energy problem.

重要成果包括：(1)构造出圈量子引力的Master约束算符，并证明了其自伴性，从而为应用Master约束方法解决量子动力学的难题奠定了基础；(2)通过引入超对称合理地固定了Immirzi参数，得出了在与物质场耦合的低能情况下圈量子引力可能偏爱超对称的结论；(3)用五维Brans-Dicke理论成功地解释了当今宇宙的加速膨胀，从而给出了一个自然解决暗能量问题的方案。

Special considerations are given to spatial discretization of hyperbolic equation with non self-adjoint operator nature.

同时构造了一个用于求解此耦合过程的统一混合弱形式，并且针对其中具有非自伴随算子特性的双曲线控制方程的空间离散进行了特殊考虑。

In this paper, by computing the Laplace of the square of the length of the second fundamental form and introducing a self-adjoint operator and using Stokes Theorem and Hopf Theorem, we obtained some pinching theorems and rigidity theorems for hypersurfaces and submanifolds in hyperbolic space.

本论文通过计算双曲空间中子流形的第二基本形式模长平方的拉普拉斯和引进一个新的自共轭二阶算子，利用Stokes定理和Hopf定理得到了子流形的一些拼挤定理和刚性定理。

According to [2], we know that if X is a reflexive Banach space and T is a strongly continuous semigroup on X with the infinitesimal generator A, then the adjoint semigroup T~* is also a strongly continuous semigroup on X* and its infinitesimal generator is A~*, the ajoint operator of A.

由文献[2]我们知道，如果X是一自反Banach空间，那么X上强连续半群T的对偶半群T~*也是X~*上的强连续半群，并且其无穷小生成元为半群T的无穷小生成元的对偶。

Taking advantageof the correspondence between self-adjoint pseudo-differential operator and real-valuedWeyl symbol of its own,we obtain that the critical phase volume charactertistic for thenon-localness of uncertainty principle is the first-order term of h and the higher-orderones of h are all omitted,where h is the Planck constant.

利用拟微分算子和实值的Weyl象征的对应关系，我们得到"测不准"的关键值是h的一阶项，其余项为〓。

In the first part of this paper, we give some basic concepts of regular Sturm-Liouville problems and some Sturm-Liouville problems with eigenparameter in the boundary conditions and the definition and properties of the Krein space. Using the Krein space, we describe a class of Sturm-Liouville problems with eigenparameter in two boundary conditions and prove that it can generate a self-adjoint operator in Krein space with only point spectrum.

第一部分我们介绍了一些基本概念如正则Sturm-Liouville问题、边界条件含参数的问题、Krein空间等，并利用Krein空间的定义和性质描述了一类参数边界条件的Sturm-Liouville问题，证明它可构造一Krein空间上的自伴算子，并且谱全为点谱。

The other aspect of the finit dimeasional robust adaptive control on a class of stochastic distributed parameter system in this paper was based on the above mentioned ground and researched the class of stochastic distributed parameter system which operator generated a compect self-adjoint semigroup or had point spectral in a stochastic developing equation of one order.

最优炉温参数是由性能指标表示为关于控制类中参数的函数通过优化求得的，而这个函数又是通过在某些已知炉温控制规律下，求钢坯温度分布和性能指标值而获得的。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。