1) essentially bounded

本性有界
1.
we obtained the following results:1 With the concept of uniformly forward subsets of the spaces c(X),essentially bounded subsets of the spaces l∞(X) and uniformly exhaustive subsets of the spaces l~p(X) and the description of operator series family of l_p~β(X),we get a equipollence proposition about uniformly forward,essentially bounded and uniformly exhaustive subsets.
得到了如下结论: 1、利用c(X)空间子集是一致趋向的概念、l~p(X)(1<p<∞)-空间子集是一致耗散的概念以及l~∞(X)-空间子集是本性有界的概念,再利用算子序列族l_p~β(X)的刻化,分别得到与子集一致趋向、一致耗散和本性有界等价的命题。
2) essential bounded subset

本性有界集
1.
In this paper,We show that 1~∞(X)-evaluation uniform convergence of operator series can be described completely by the essential bounded subset of 1~∞(X),this conclusion improves the J.
将证明算子级数的1~∞(X)-赋值收敛能完全用1~∞(X)-的本性有界集来刻画,此结论推广了J。
3) essentially bounded mesurable function

本性有界可测函数
4) sample bounded linear operator

样本有界线性算子
5) essentially bounded

本质有界的
6) essential boundary

本性边界
补充资料:发光地寄色界无色界天乘
【发光地寄色界无色界天乘】
谓三地菩萨,明修八禅定行,同于色界四禅,无色界四空处,故云发光地寄色无色界天乘。(八禅定者,色界、无色界各四禅定也。四禅者,初禅、二禅、三禅、四禅也。四空者,即空处、识处、无所有处、非非想处也。)
谓三地菩萨,明修八禅定行,同于色界四禅,无色界四空处,故云发光地寄色无色界天乘。(八禅定者,色界、无色界各四禅定也。四禅者,初禅、二禅、三禅、四禅也。四空者,即空处、识处、无所有处、非非想处也。)
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