banach space 中文意思是什麼
banach space
解釋
banach空間-
Fixed point iteration for quasi - contractive mapping in banach space
空間中擬收縮映射的不動點迭代 -
On dual properties of the some convexity and smoothness in banach space
空間中一些凸性與光滑性的對偶性質 -
And then, multiple - dimention asmptotic periodic function space is still banach space
而且把結論推廣到高維空間，也會得到漸近周期函數空間是banach空間 -
The structure of inverse transformation for linear invertible bounded transformation on banach space
空間上有界可逆線性變換逆變換的結構 -
Parallelogram identity vector and isometric refelection vector in banach space
空間的平行法則向量和等距反射向量 -
Chapter 2 on the locally ( weakly ) uniform rotundity of musielak - orlicz sequence spaces : rotundity is important property in the geometry of banach space. in this paper, criterion that musielak - orlicz sequence spaces equipped with the orlicz norm and luxemburg norm is locally ( weakly ) uniformly rotund was discussed in detail. moreover, we get the sufficient and necessary condition of them
第二章musielak - orlicz序列空間的局部（弱）一致凸：凸性是banach空間幾何理論的重要性質，本文詳細討論了賦orlicz范數和luxemburg范數的musielak - orlicz序列空間及它們的子空間的局部（弱）一致凸，並給出了它們的充分必要條件 -
The theorems of positive operators of banach lattice and positive operators are an inseparable part of the general banach space and operator theory
另一方面，研究了hilbert格和banach格上正運算元的一系列性質，得到了許多良好的結果。 -
Convergence of implicit iteration process for strictly pseudocontractive map in banach space
空間中嚴格偽壓縮映射隱迭代過程的收斂性 -
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， 。 -
By using bruck ' s lemma [ 10 ], passty [ 31 ] extended the results of [ 1, 16 ] to uniformly convex banach space with a frechet differentiable norm. however, there existed more or less limitations in their methods adopted. by using new techniques, chapter2 of this paper discussed the weak convergence theorem for right reversible semigroup of asymptotically nonexpansive type semigroup and the corresponding theorem for its almost - orbit in the reflexive banach space with a frechet differentiable norm or opial property
Feattieranddotson 16 ]和bose [ l ]通過使用opial引理17 }在具弱連續對偶映照的一致凸b ~ h空間中證明了漸近非擴張映照的弱收斂定理， passty 31通過使用bruck引理10 ]把1 ， 16 ]的結果推廣到具freehet可微范數的一致凸banach空間，然而，他們的證明存在著種種局限性。 -
The pointwise convex modulus of banach space
空間點態凸性模 -
On two theorems of hyperspherical series on banach space
空間中超球級數的兩個定理 -
Throughout the following of this section, e denotes a real banach space and p is a cone in e. in chapter, a new three - solution theorem is obtained. moreover, the famous amann ' s and leggett - williams " three - solution theorems in nonlinear functional analysis can be seen as its special cases, namely they are united. so they are improved. the main results can be stated as the following : let d be a nonempty bounded close convex subset in e, and nonnegative continuous functional on d. and is concave while is convex. suppose 0 < d and denote
首先我們約定，在下文中， e是實banach空間， p是e中的錐。在第一章中，我們利用錐理論與不動點指數理論統一了著名的amann三解定理與leggett - williams三解定理。主要結論是：設d是e中的非空有界閉凸集， ，是d上的非負連續泛函，且是凹泛函，是凸泛函。 -
A theorem of iterative approximation of zero point for maximal monotone operator in banach space
空間中極大單調運算元零點的迭代逼近定理 -
Nonwandering operator sequences on banach space
空間上的非游蕩運算元序列 -
Fixed - point iteration for uniform lipschitz asymptotically nonexpansive mapping of uniform convex banach space
一致李普希茲漸進非擴張映射的不動點迭代問題 -
Reich [ 2 ] proved the ergodic theorems to nonexpansive semigroups in hilbert spaces. takahashi and zhang [ 3 ], tan and xu [ 4 ] extended baillon ' s theorem to asymptotically nonexpansive and asymptotically nonexpansive type semigroups in hilbert spaces. recently, reich [ 6 ], bruck [ 5 ], oka [ 7 ] gave the ergodic convergence theorems for nonexpansive, asymptotically nonexpansive mappings and semigroups in uniformly convex banach spaces with frechet differentiable norm. li and ma [ 13 ] obtained the ergodic convergence theorems for general commutative asymptotically nonexpansive type topological semigroups in reflexive banach space, which is a great breakthrough
Baillon [ 1 ]首先在hilbert空間的非空凸閉子集上給出了非擴張映照的弱遍歷收斂定理。 baillon的定理引起了很多數學家的興趣， reich [ 2 ]在hilbert空間中證明了非擴張半群的遍歷收斂定理。 takahashi和zhang [ 3 ] ， tan和xu [ 4 ]分別將baillon的定理推廣到漸近非擴張半群及漸近非擴張型半群。 -
Controllability of impulsive functional differential system in banach space
抽象空間脈沖泛函微分系統的可控性 -
Existence and uniqueness for the solution of non - monotone operator equation in banach space
抽象空間非單調運算元方程解的存在唯一性 -
The convergence theorms for asymptotically non - expanstive mapping in a uniformly convex banach space
空間漸近非擴張映像的收斂定理
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