norm topology 中文意思是什麼

norm topology 解釋
范拓樸
  • norm : n. 1. 規范,模範;準則;(教育)標準。2. (勞動)定額;【數學】模方;范數。
  • topology : n. 地學志;【數學】拓撲學;拓撲(結構);【解剖學】局部解剖學。adj. -ical
  1. 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

    在第五章中我們引進了在離散拓撲、范數拓撲、強運算元拓撲和弱運算元拓撲下的拓撲自反性,證明了某些運算元代數上( , ) ?導子空間在弱運算元拓撲下是拓撲自反性的,同時我們還刻畫了自反代數的自同構和( , ) ?導子。
  2. 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

    這里把這一問題轉化為考察有界線性運算元空間與它的正則運算元子空間在(一致)運算元拓撲之下的關系,從而部分的回答了正則運算元集合在有界線性運算元空間中有多大的問題,解決了經典banach格上強非正則運算元的存在性。
  3. On the basis of some conceptions relating to network and a brief survey of existing self - healing techniques, a norm named " the distributed character of traffic routes " is presented, which is used to judge that the survivability of a physical topology is good or not

    在介紹了相關概念和回顧現有技術的基礎上,從實際網路中的業務需求分佈的角度,提出了一個可以用來衡量一個網路物理拓撲的生存性性能的指標? ?網路業務路由分佈特性。
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