有界算子 meaning in English
bounded operator
Examples
- Compact power bounded operator
紧幂有界算子 - In this paper , the orthomorphisms on the archimedean riesz space r " with the usual coordinatewise ordering are characterized . also , the direct sum decomposition of an order bounded operator with respect to the orthomorphisms is obtained
本文首先刻画了n维欧氏空间r ~ n按通常的偏序做成的阿基米德riesz空间上正交射的特征，以此可对r ~ n上序有界算子作关于正交射的直和分解。 - Then the relation of regular operators , bounded operators and linear operators on banach lattices are given , that is lr ( e , f ) lb ( e , f ) l ( e , f ) ; order dual , operator dual and algebra dual are related , i . e . e " c e * c e #
然后给出banach格空问上正则算子，有界算子和线性算子的关系： lve ； f ） of 。 ef ） clp ， f ） ；给出了序对偶，算子对偶和代数对偶的关系： e ’ ce ” ce个然后引入赋值映射人证明了j是保格运算的格同态 - But all the results were established on the basis that the operator in delay term is bounded . for the condition that the operator is unbounded in delay term which is constant , liu [ 4 ] and guo [ 8 ] have made some research and got some sufficient and necessary conditions
但上述结果都是建立在时滞项所含算子为有界算子的基础上，对于时滞项含无界算子的抽象微分方程对小时滞的鲁棒稳定性，刘康生[ 4 ] ，郭发明[ 8 ]做了一些研究并获得了一些充分必要条件。 - Then the order bound norm imposed on the order bounded operators between two banach lattices is fully studied . the results include the relationships between the order bound norm and the other two types of norms of a regular operator ; respectively , and a condition under which the space of order bounded operators is a dedekind complete banach lattice
接着讨论了banach格间序有界算子的序有界范数，详细论证了正则算子的(一致)算子范数、正则范数和序有界范数三者之间的关系，并得到了序有界算子空间在序有界范数之下是dedekind完备banach格的一个条件。