算子拓扑 meaning in Chinese
operator topology
Examples
- Some notes for a c0 - semigroup with continuity in the uniform operator topology in hilbert space
0半群一致算子拓扑连续的几点注记 - The definitions are given of operator topology spaces , together with the operator continuous mapping of them . the characterizations of operator continuous mapping are also presented
摘要在算子开集理论中给出了算子拓扑空间的概念，并在该空间中讨论了算子连续映射，得到了算子连续映射的等价刻划。 - Professor guo dajun has summarized in his work [ 7 ] . such several important tasks and theirs application of nonlinear functional analysis as typical nonlinear operators , hammerstein integral operations , ordinarily and partially differential equations . the cone theory , the positive solutions of nonlinear operator equations , the number and the branch of solutions , and so on . reference [ 1 ] includes all levels of results of the domain such as nonlinear functional analysis
郭大钧先生在专著[ 7 ]中对非线性泛函分析的几个重要课题及其应用，诸如典型的非线性算子、 hammerstein积分方程、常、偏微分方程、迁移方程、锥理论及非线性算子方程的正解、非线性算子拓扑度和不动点定理以及固有值、解的个数与分支，都做了系统的概括和总结 - In chapter 5 we introduce the concepts of topological reflexivity in several topologies , namely , the discrete , the norm , the strong and the weak operator topology . we prove that the spaces of ( , ) - derivations on certain operator algebras are topologi - cally reflexive in the weak operator topology . the automorphisms and ( , ) - derivations of reflexive algebras in banach spaces are also characterized in this chapter
在第五章中我们引进了在离散拓扑、范数拓扑、强算子拓扑和弱算子拓扑下的拓扑自反性，证明了某些算子代数上( ， ) ?导子空间在弱算子拓扑下是拓扑自反性的，同时我们还刻画了自反代数的自同构和( ， ) ?导子。 - Alternatively , we investigate the relationships between the space of bounded operators and its regular operator subspace with respect to the operator norm topology , thereby answering partially the question of how big the regular operator subspace is and discussing the existence of strongly non - regular operators between some classical banach lattices
这里把这一问题转化为考察有界线性算子空间与它的正则算子子空间在(一致)算子拓扑之下的关系，从而部分的回答了正则算子集合在有界线性算子空间中有多大的问题，解决了经典banach格上强非正则算子的存在性。