算子范数

Some examples are given to explain orthonormality, adjoint operator, orthonormal projection operator, converges in norm and weak sense which used onwavelet theory.

重点说明希尔伯特空间的正交性、伴随算子、投影算子以及依范数收敛、弱收敛在小波理论中的体现。

Based on the delta operator bounded real lemma, sufficient condition with an H〓 norm bound on closed loop uncertain systems and state feedback design are provided.

基于Delta算子的界实引理，给出了闭环不确定系统具有H〓范数界的充分条件及状态反馈设计方法。

In chapter 4, we give the definition of quasi-norm of linear operator with respect to a given bounded set in F* space and study some of its properties.

第四章 在F~*空间上给出线性算子关于一个给定有界集的拟范数的定义，研究它的某些性质。

The controller makes the closed-loop systems internally stable and minimizes the H2 norm of the transfer matrix Tzw from w to z. Two Riccati formulae based on 8 operator is deduced. The H2 problems for continuous time systems, Z operator models and 8 operator models are investigated respectively.The guaranteed cost control problem of robust stabilization and robust performance for uncertain systems which is described by 8 operator is discussed in this paper.

采用Riccati方程处理方法讨论了基于Delta算子描述下的离散系统存在输出反馈控制器的问题，得到了两个基于Delta算子的Riccati方程，设计了Delta域的输出反馈控制器，使得闭环系统内稳定，且满足从w到z的传递矩阵T_的H_2范数最小，设计了基于Delta算子描述下的离散系统的最优控制器，并与S域和Z域的H_2控制器进行了比较。

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

A integral equation formulation is derived based on modified Green's operator with norm less or equal to one.

利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程，由于满足压缩映射条件，该积分方程在任意参数条件下总是迭代收敛的。

By spectral analysis of the system, we find that 0 is the uniquespectral point of system on the imaginary axis.

同时通过研究系统算子的谱特征，证明了系统算子的谱点均位于复平面的左半平面且虚轴上除0外无谱，进而得到系统的渐近稳定性，特别在范数意义下系统的动态解收敛到稳态解。

In this paper, Weighted Orlicz-Bergman spaces defined on the unit disc and their composition operators are discussed, norm and invertibility of composition operators are given.

讨论了复平面内单位圆盘上的加权Orlicz-Bergman空间以及这些空间上的复合算子，给出了复合算子的范数估计及可逆性条件。

This paper sets up the fixed point theorems for cone stretching or compression and more extensive fixed point theorems for cone stretching or compression in their normal forms on the condensing mapping.

本文建立凝聚映象的锥拉、压不动点定理和更为广泛的范数形式凝聚映象的锥拉、压不动点定理以及对非锥映象的表现形式，然后利用所得的结果来研究凝聚算子的固有值的全局特征和算子方程的非零解并用到YpbIcoH算子上。

This paper studies some theory forfuzzy conjunctions and fuzzy disjunctions, which are more general than t- normsand t- conorms, respectively, and investigates the roles of negations in fuzzy logic.

本文首先研究了比t-范数及其共轭范数更一般的模糊合取、模糊析取算子，讨论了&负&在模糊逻辑运算中的作用。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。