1) Bounded homogeneous operator
有界齐性算子
4) homogeneous bounded domain
齐性有界域
1.
Successively, in 1963, Vinberg, Gindikin and Piatetski-Shapiro[2] proved that any homogeneous bounded domain is holomorphically isomorphic to a homogeneous Siegel domain.
接着,Vinberg,Gindikin和Piatetski-Shapiro[2]于1963年证明了任何齐性有界域全纯同构于齐性Siegel域。
5) bounded linear operator
有界线性算子
1.
Perturbation of bounded linear operator A_(T,S)~(2) in Hilbert spaces;
Hilbert空间有界线性算子A_(T,S)~(2)的扰动分析
2.
The problem about family of bounded linear operator from n×n matrices to itself;
n×n阵列到自身的有界线性算子族问题
3.
We characterize the generalized regular points of f using the three integer-valued (or infinite) indices M(x0),Mc(x0) and Mr(x0) at x0∈E generated by f and by analyzing generalized inverses of bounded linear operators on Banach spaces,that is,if f′(x0) has a g.
用f产生的在x0∈E处的3个整数(或无穷大)值指标M(x0),Mc(x0)和Mr(x0)和分析Banach空间上有界线性算子的广义逆来刻画f的广义正则点,即,如果f′(x0)在从E上到F的有界线性算子组成的Banach空间B(E,F)内有广义逆,且M(x0),Mc(x0)和Mr(x0)中至少有一个是有限,则x0是f的广义正则点的充分必要条件是多重指标(M(x),M(x),M(x))在x点处连续。
6) well bounded operators
良性有界算子
1.
The theory of well bounded operators has been found many applications and formed deep connections with other areas of mathematics.
良性有界算子在数学的许多领域都有十分重要的应用 ,如应用于斯图姆—刘维尔理论 ,富里叶分析与乘数理论[2 ,3 ] 。
补充资料：半有界算子
半有界算子
semi-bounded operator
一个半有界算子S总有一个具有同样下界c的半有界自伴扩张A(Fri改lriehs定理(Friedrichsthe。比m)).特别地，S和它的扩张有同样的亏指数(见亏值(de-fective value)).半有界算子〔脚面一b民奴曰。碑rat份;n。刃orpaH“，eu-“。面onepaT0p] Hilbert空间H上的一个对称算子(syrnr阴tricOPe功tor)s，对它存在一个数c使得对S的定义域中的所有向量义， (Sx，x))c(x，x).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条