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Brown and Halmos [3] showed that the only compact Toeplitz operator on the Hardy space is the zero operator and a Toeplitz operator is bounded on the Hardy space if and only if its symbol is bounded.

Brown和Halmos[3]证明了经典Hardy空间上只有零算子才是紧的Toeplitz算子,并且证明了Toeplitz算子有界等价于它的符号是有界的。

We first show some properties of such operators and give an explit description about the image of a linear bounded operator on a linear normed space. Then based on these results, we show the mean ergordic theorem on a C*-bial-gebra and get a sufficient and necessary condition for a linear functional to be Haar measure. Finally we discuss the sufficent conditions for the existence of Haar measure on C*-bialgebras.

本文首先通过考察这样算子的性质和刻画赋范线性空间中连续线性算子的像集的性质,证明了C*-双代数中的一个平均遮历定理,得到了C*-双代数中的线性泛函是 Haar 测度的充分必要条件;利用遍历定理和这个充分必要条件探讨了C*-双代数中 Haar 浏度存在的一些充分条件。

It is proved that when all the ratios of the generic term of a subaddtive sequence to its ordinal number form a lower bounded sequence,the ratio sequence must have limitation .

从这一结果出发证明了,当定义在(0,+∞)上的次可加函数与其自变量之比为有界函数时,次可加函数必存在上下确界函数,并证明了其上下确界函数均为齐次线性函数。

It shows the circumstances about detector, pool of fire control, water box, water pump, camera, and video of the plan.

明了在设计方案中所牵涉到的关于探测器、消防水池、水箱、水泵、摄像机、视频等一些相关的情况。

And the process of hardware design, programme of application software and procedure of square brackets are defined.

介绍SINUMERIK840D在铣床中的应用,详细说明了硬件设计过程,应用软件的编制以及程序方框图。

After introducing SAW gyroscopic effect and acoustooptical Bragg diffraction effect briefly, a measuring tiny angle plan with CCD is put forward. Some core technology to measure tiny angle are discussed.

在扼要说明了Ω调制布拉格衍射角的物理原理后,初步设计了布拉格衍射角的CCD测量系统并讨论了影响其测角精度的若干关键技术。

Along with bigger teeth and a studier body, the dire wolf also had a smaller braincase.

对此,斯蒂芬表示:这种特征具有普遍性,我们的发现也说明了这一点。

Government's policy of supporting Chiang Kai-shek against the Communists shows the brazenness of the U.S.

美国政府的扶蒋反共政策,说明了美国反动派的猖狂。

The U.S. government's policy of supporting Chiang Kai-shek against the Communists shows the brazenness of the U.S.

美国政府的扶蒋反共政策,说明了美国反动派的猖狂。

The Break statement ensures an early termination of a For loop or a While loop.

之前的例子说明了回圈的运算和 Break 叙述的使用。

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The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应,而且减少跟风的可能性。

The new PS20 solar power tower collected sunlight through mirrors known as "heliostats" to produce steam that is converted into electricity by a turbine in Sanlucar la Mayor, Spain, Wednesday.

聚光:照片上是建在西班牙桑路卡拉马尤城的一座新型PS20塔式太阳能电站。被称为&日光反射装置&的镜子将太阳光反射到主塔,然后用聚集的热量产生蒸汽进而通过涡轮机转化为电力