界

Let A" denote the commutant of a bounded linear operator S on H and R denote the collection of all operators in A" which are compact and upper triangular operators with diagonal sequence being zeros. In this paper, we show that if A"= CI + R, the K_0-group of A" is isomorphic to the integer group.

本文指出若H上的有界线性算子S的换位代数A′=CI+R，其中C是复数域，I是H上的单位算子，R是所有与S可交换的对角线为0的紧上三角有界线性算子的集合，则K_0A′

Let X be a real Banach space with strictly convex dual space X(superscript *) and G a bounded, open subset of X. T: DX→2 is a m-accretive operator, C: D→X is bounded operator.

设X是一个实Banach空间，X为其对偶空间，G是X的开、有界子集。T：DX→2是m-增生算子，C：D→X是有界算子。

It includes all totally bounded sets and many sets which are not totally bounded in the sequence space.

它包括了该序列空间的全部全有界集及许多非全有界集。

In general,the convergent sequence and bounded set are concepts only in topological spaces.

收敛序列和有界集一般是拓扑空间中的概念，文章首先引入序列收敛C和L-空间(给出某种序列收敛关系的向量空间)，然后在其中定义有界集。

On the other hand, we make certain study to the nonwandring property of bounded, unbounded operator semigroups ,and give out concrete application.By the theory of semigroups, we establish if {T_n}_(n≥1) is a bounded linear operator sequence onBanach space X_n converging in the sense of Kato to a bounded operator T on theBanach space X , then their nonwandering property can be inherited by each other under the appropriate conditions.

另一方面，本文对有界和无界算子半群的非游荡性也作了特别的研究，并给出了一些具体的应用；利用半群理论，还证明了算子在Kato意义下逼近时，二者之一的非游荡性可被另一个所保持；并得到了几个相应的结果。

We get the two edge blocking convergencetheorem of sequence of fuzzy numbers and the almost everywhere cut-convergence theorem ofmonotone bounded sequence of fuzzy numbers, and point out that monotone bounded sequenceof fuzzy numbers may not cut-converges and converges.

讨论了模糊数列的收敛、截收敛、几乎处处截收敛性，得到了模糊数列收敛的夹逼定理及单调序有界模糊数列必几乎处处截收敛定理，并指出了单调序有界模糊数列未必截收敛、收敛。

The existence of supremum and infimum of the bounded set in the noncompact fuzzy number space E〓 is proved in a quite different way.

利用完全不同的方法证明了非紧模糊数空间中有界集的确界存在性。

A discussion is made of the continuously sufficient and necessary conditions of the bounded variation fon the closed interval in the paper.

讨论了有界变差数 f在闭区间上连续的充要条件以及函数 f在闭区间上有有界变差的充要条件。

In this paper, we discuss uniform boundedness and uniform ultimate boundedness of differential systems with infinite delay.

研究了非线性无穷时滞微分系统解的一致有界性和一致最终有界性。

And the sufficient conditions for uniform boundedness and uniform ultimate boundedness are obtained respectively.

分别得到了一致有界和一致最终有界的充分条件。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。