有界收斂拓撲 的英文怎麼說
中文拼音 [yǒujièshōuliǎntàpū]
有界收斂拓撲
英文
topology of bounded convergence- 有 : 有副詞[書面語] （表示整數之外再加零數）: 30 有 5 thirty-five; 10 有 5年 fifteen years
- 界 : 名詞1 （相交的地方; 劃分的界限） boundary 2 （一定的范圍） scope; extent 3 （按職業、工作或性別等...
- 收 : Ⅰ動詞1 （把攤開的或分散的事物聚集、合攏） put away; take in 2 （收取） collect 3 （收割） harvest...
- 斂 : Ⅰ動詞1 （收起; 收住） hold back; keep back 2 （約束） restrain 3 （收集; 徵收） gather; collect; ...
- 拓 : 拓動詞（把碑刻、銅器等的形狀和上面的文字、圖形印下來; 拓印） make rubbings from inscriptions pict...
- 收斂 : 1 （減弱或消失） weaken or disappear 2 （約束言行） restrain oneself 3 [數學] convergence; constr...
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Chapter 2 of this paper, by using a new method of proof, we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by theorem 2. 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space. by this method of proof, we give the weak ergodic convergence theorems for right reversible semigroups. by theorem 2. 1 of chapter l, we generalize the result to almost orbit case. so we can remove a key supposition that almost orbit is almost asymptotically isometric. it includes all commutative semigroups cases. baillon [ 8 ], hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups. recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups. hirano and kido and takahashi [ 11 ], hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm. in 1997, li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex, which greatly extended the fields of applications of ergodic theory. chapter 2 of this paper, we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces. and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups
近年來， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范數的一致凸banach空間中給出了非擴張及漸近非擴張映射及半群的遍歷收斂定理。 li和ma [ 13 ]在具frechet可微范數的自反banach空間中給出了一般交換漸近非擴張型拓撲半群的遍歷收斂定理，這是一個重大突破。本文第二章用一種新的證明方法在自反banach空間中，研究了揚州大學碩士學位論文2一般半群上的（ r ）類漸近非擴張型半群的弱遍歷收斂定理，即:定理3 . 1設x是具性質（ f ）的實自反banach空間， c是x的非空有界閉凸子集， g為含單位元的一般半群， s =仕工， 。
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