在本篇论文中，我们研究两类算子的数值域。
In this thesis, we study the numerical ranges of two kinds of operators.
本文研究了一类算子方程组的解及边界解的存在性。
In this paper, we study existence of the solutions and boundary solutions for a class of operator equations.
利用控制不等式理论证明一类算子凸序列不等式，把凸序列不等式推广到算子。
In this paper we prove a class of operator convex sequences inequality by means of the theory of majorization.
利用控制不等式理论证明一类算子凸序列不等式，把凸序列不等式推广到算子。
An inequality for convex sequence is proved by means of the control theory, Moreover the inequality established in is generalized.
运用L2空间上的线性算子理论，我们证明了这类算子存在至多可数个正的本征值。
By using linear operator theory in L2 space, we proved that the operators of this kind has not more than denumerable positive eigenvalues.
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.
研究了一类t单调增算子，并给出了这类算子的一些不动点定理，改进了已有的有关结果。
In this paper, we studied a class of t monotone increasing operators and obtained some fixed point theorems, generalized and improved many known results.
本文引进了有限阶可分介算子的概念，讨论了这类算子的某些性质，特别研究了它的谱性质。
In this paper, we introduce the definition of decomposable operators with finite order. We set down the basic properties of them. Particularly we discuss their spectral properties.
第三章，根据第二章的结果得到丁这类算子相似的充要条件，完成了对这类算子的相似分类。
In chapter 3, by the results of the chapter 2 we get the the main result of this paper and give a similarity classification of the operators which satisfy the conditions above.
考虑权为常数的单边加权移位算子，利用相似性的一个结果，给出了这类算子的完全拓扑共轭分类。
The present paper deals with the condition for a backward operator weighted shift to be Cowen Douglas operator.
本文引入有序权聚类算子（OWA）到区间值模糊集合的相似度度量中，提出了一种改进的双向模糊推理算法。
The OWA operator is introduced to the measure of the interval - valued fuzzy sets, and an improved bidirectional approximate reasoning is proposed in this paper.
本文引入有序权聚类算子（OWA）到区间值模糊集合的相似度度量中，提出了一种改进的双向模糊推理算法。
The OWA operator is introduced to the measure of the interval - valued fuzzy sets, and an improved bidirectional approximate reasoning is proposed in this paper.
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