有关的问题与概念有：凸算子，互易集与互易原理，H广义解，算子微分方程等。
Related problems and concepts include; convex operator, reciprocity set and reciprocity principles, H-generalized solution and operator-differential equation, etc.
讨论了解析函数子族的积分变换，相应地给出了一类近于凸积分算子的某些结果。
In this paper, integral transforms of functions belong tot he class are investigated, some results of a close to convex integral operator are given as well.
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.
本文构造了标准三角形上两个算子的有理凸组合逼近并推广到任意三角形上。
In this paper the rational convex combination of two operator is constructed in standard tringle.
主要研究一类积分算子的性质，并给出了该算子的凸阶估计。
This paper mainly considers a class of integral operators preserving certain geometric properties, and obtains its estimate of convex rank.
第三章提出了一些新的G -可微概念，并研究了算子的凸性与这些新的可微性之间的关系。
In chapter 3, we set some new conceptions of G-derivative, and make a research on the relations among these new derivatives and the convexity of an operator.
本文进一步研究了严格凸空间的性质，并给出了等距算子为线性算子的一个充分条件。
In this paper the properties of the strictly convex space are studied further. In the time this paper further gives a sufficient condition that isometric operator is linear operator.
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.
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.
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