weakly closed space 中文意思是什麼

weakly closed space 解釋
弱閉空間
  • weakly : adj. （ -lier; -liest ） 軟弱的；虛弱的。adv. 軟弱地；虛弱地；懦弱地；優柔寡斷地。
  • closed : adj. 1. 關閉著的，封閉著的；密閉著的；保密的。2. 〈美國〉準備好了的；定了契約的。3. 【語音】閉音節的。
  • space : n 1 空間；太空。2 空隙，空地；場地；（火車輪船飛機中的）座位；餘地；篇幅。3 空白；間隔；距離。4 ...
  1. This paper investigates the closure property of sublogarithmic space - bounded 1 - inkdot alternating pushdown automata with only existential universal states, and shows, for example, that for any function l such that l loglogn and l o, the class of sets accepted by weakly strongly l space - bounded 1 - inkdot two - way alternating pushdown automata with only existential universal states is not closed under concatenation with regular sets, length - preserving homomorphism, and kleene closure

    Chandra kozen和stockmeyer提出了交替性alternation作為并行計算的一個理論模型。交替式alternating圖靈機是非確定性圖靈機的推廣，它的狀態集合被分為萬能狀態universal state和存在狀態existential state 。非確定性圖靈機可看作只有存在狀態的交替式圖靈機。
  2. ( 10 ) let m be a weakly closed operator subspaces acting on a hilbert space h. m. is said to have property ( p ), if the subspace linearly generated by all rank one operators in m is weakly dense in m

    在第五章中，我們研究了運算元空間中秩一運算元生成的子空間的a一弱稠密性間題，得到了三個充要條件，即（ l0 ）設州是作用在hilbert空間火上的。
  3. We prove that m has property ( p ) if and only if ( 11 ) let m be as in ( 10 ) then m and every weakly closed subspace including m have proverty ( p ) if and only if for any t b ( h }, there exist x, y h. such that ( 12 ) let a be a completely distributive subspace lattice algebra acting on a hilbert space, then the rank one subalgebra of a is dense in a if and only if, the weak closures of the first and the second preannihilators of a in the space of all trace class operators are reflexive

    一弱閉運算元空間，稱州具有性質（ p ） ，如果州中秩一運算元生成的子空間在期中a一弱稠密.我們證得:川具有性質（ p ） ，等價于州: = { t丁扭） : tx任[州上習， z任火} . （ ll ）設川如（ l0 ）所述，則川以及包含川的每個a一弱閉子空間都具有性質（ p ） ，當且僅當，對任意t任側喲，都存在x ， ，任火使得t一x y州
  4. We first present the decomposition of finite rank operators and trace class operators in a weakly closed nest algebra algn - module. secondly, the same question for finite rank operators in the preanm ' hilator of an atomic boolean lattice algebra is considered. ( 6 ) let n be a nest on a hilbert space h. and u be any weakly closed algn - module

    在第三章中，我們首先討論了弱閉套代數模中的有限秩運算元和跡類運算元的「保跡范數可加性分解」問題，然後研究了原子boolean格代數的預零化子中的有限秩運算元，得到（ 6 ）設n是hilbert空間h中的一個套， u是任一弱閉algn -模。
  5. This paper applied the character that linear subjective isometries preserve the geometric rank of a operator to characterize the onto isometries between compact operators space in weakly closed modules of nest algebras, and obtained the expressions of the isomtries

    摘要利用運算元的幾何秩在線性等距映射下不變的性質研究了套代數弱閉模中緊運算元空間的線性等距離映射，最後得到其空間實現形式。
  6. The main result is ( 9 ) let n be a nest on a hilbert space h, and u be a weakly closed algan - module

    ） u ，使得，並且作為該結果的應用，得到了任一運算元到u的距離公式。
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