- 有界线性算子
- bounded: adj. 1.有界限的，有限制的。 2.【数学】有界的。 ...
- linear: adj. 1.线的，直线的。 2.长度的。 3.【数学】 ...
- operator: n. 1.操作者，机务员；司机，驾驶员；【军事】电话兵； ...
- bounded operator: 有界算符, 有界操作符; 有界算子
- compact power bounded operator: 紧幂有界算子
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bounded linear operator中文什么意思
- 有界线性算子
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例句与用法
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- Research on quadratic numerical range of bounded linear operators zhang jingjie abstract the study of numerical range started in 1918 - 1919 by toeplitz and hausdorff when they first proved that w ( a ) is always convex , since then , the study of numerical range theory had been one of the most active research areas
自toeplitz和hausdorff在1918 - 1919年首先证明了toeplitz - hausdorff定理以后，有关数值域、数值半径以及各种广义数值域及其数值域半径的研究变得非常活跃。 - After we define the n - numerical range of bounded linear operators on a hilbert space , we find that the n - numerical range have a series properties very similar to that of the quadratic numerical range . at the same time , we prove that under certain conditions , wn ( a ) c w ~ ( a ) and that when h is finite dimensional and dimti = n , we have a ( a ) = wn ( a ) . therefore , it is nature to guess that when h is an infinite dimensional hilbert space , for any space decomposition dn ? ?
首先给出了n次数值域的定义，我们发现n次数值域不但具有一系列和二次数值域类似的性质，而且在给定的条件下还有n次数值域包含在二次数值域当中，另外当是n维hilbert空间时，它的n次数值域就等于它的谱集，前面的结论促使我们猜想，当是无限维hilbert空间时，对的任意的空间分解d _ n ，都应该有下面的式子成立： ( a ) = _ ( d _ n d ) w _ ( d _ n ) ~ n ( a ) 。