operator topology 中文意思是什麼
operator topology
解釋
運算元拓撲-
In this paper, an isolated point operator was used to define a topology on an abstract set
摘要在本文中，筆者使用了孤立運算元定義拓撲。 -
Based on the theory of molecular set nests and prime elements set nested in [ 67, 68 ], with the cuted set f and jm, we have obtain the equivalent theorem, the decomposition theorems, the representation theorems about l - smooth co - topology, the equivalent conditions of constructing a - smooth co - topology by a family co - topologies and the equivalent theorem of closure operator. we have proved that - smooth closure operator is reasonable, discussed the relations between - smooth closure operator and closure operator, - smooth continuous goh and continuous goh, and given a kind of product of - smooth topological molecular lattices
藉助文[ 67 ， 68 ]中提出的分子集合套和素元集合套理論，結合文[ 83 ]並以截集蘆f _ [ a ]和f ~ [ a ]為工具刻畫l上smooth余拓撲f ，從而給出了l - smooth余拓撲的刻畫定理、分解定理、表現定理和由余拓撲族構造l - smooth余拓撲的充要條件 -
At first, in order to prevent the premature convergence of genetic algorithm effectively, the author brings forward a novel dyadic floating - point supplementary mutation operator. then, simulating the natural evolution, the author presents a novel topology, unoriented - connected topology, for parallel genetic algorithm. in the end, an interval decomposed optimization method is brought forward for ipga, which can improve the optimization performance of the algorithm
為提高演算法的性能，作者對遺傳演算法進行三種改進：首先，為克服遺傳演算法早熟收斂，作者提出一種新的二元浮點補碼變異運算元；其次，模擬生物自然進化模式，為并行遺傳演算法提出了一個新的并行拓撲結構- - - -無定向拓撲連接；最後，作者提出一種區間分解優化思想，來提高對最優解的搜索能力。 -
Some notes for a c0 - semigroup with continuity in the uniform operator topology in hilbert space
0半群一致運算元拓撲連續的幾點注記 -
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
摘要在運算元開集理論中給出了運算元拓撲空間的概念，並在該空間中討論了運算元連續映射，得到了運算元連續映射的等價刻劃。 -
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。 -
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。 -
At first the approximate operators of rough sets are modified, so the new operators of union, intersection and complement and approximate power sets are presented. this has enriched rough sets theory from the operator - oriented and set - oriented views. then by combining topology, rough topology and approximate topologies are defined and researched
首先修正粗糙集近似運算元，提出近似集的新型並、交、補運算和近似冪集空間，從運算元論和集合論兩者的角度豐富了粗糙集理論；再結合拓撲，定義和研究了粗糙拓撲、近似拓撲。
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