hilbert space 中文意思是什麼
hilbert space
解釋
hilbert空間-
In the first way, the coordinate become operaotrs acting on a hilbert space, which provides for a respresentation space of the noncommutative space, on the other hand, starting with the standard commutative gauge theory action and then reinterpreting any products of fields appearing in terms of the moyal product
從而非對易空間的場量是運算元的函數。另一方面，我們可以從普通空間的規范理論的作用量出發，然後用moyal星乘積來代替普通空間的規范理論中場量的普通乘積。從而給出非對易空間規范理論的作用量。 -
After shortly reviewed the haldane ' s description of the quantum hall effect on 2 - sphere s2 and zhang and hu ' s generalization to 4 - sphere 54. we obtained the corresponding noncommutative algebra an and the moyal structure of the hilbert space
在回顧了haldane在2維球面s ~ 2上對量子hall效應的描述和張首晟與胡江平對量子hall效應在4維球面s ~ 4上的推廣后，我們構造了s ~ 2和s ~ 4上的非對易代數及其hilbert空間的moyal結構。 -
Reflexive generalized inverse operator of hilbert space
空間的自反廣義逆運算元 -
Iteration method research for zero points of m - accretive operators in hilbert space
增生運算元的零點迭代演算法 -
Basing on the principle of arbitrage - free pricing theory, the basic tools of replicated pricing and dynamic programming approach, and under the guide of projection theory of hilbert space, this paper focus on the issues of pricing and hedging of real option in incomplete markets
全文以無套利定價理論為線索；以復制定價、動態規劃為基本工具；以hilbert空間投影理論為指導，重點研究非完全市場條件下實物期權的定價與風險對沖問題。 -
From the point of view of hilbert space sets of measure 0 are negligible.
從希耳伯特空間的觀點看來，測度為0的子集是可以省略的。 -
( 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。 -
The iteration scheme with errors for zero point of maximal monotone operator in hilbert space
賦范線性空間中一類運算元的不動點逼近問題 -
An implicit iterative process for a finite family of nonexpansive mappings in hilbert space
空間上有限個非擴張映象的隱式迭代過程 -
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 -
Some covergence of stochastic processes functional in hilbert space
空間中隨機過程泛函的某些收斂性 -
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， 。 -
Weak convergence of the distribution of independent random variable series in hilbert space
空間中獨立隨機變量序列分佈的弱收斂性 -
After we define the n - numerical range of bounded linear operators on a hilbert space, we find that the n - numerical range have a series properties very similar to that of the quadratic numerical range. at the same time, we prove that under certain conditions, wn ( a ) c w ~ ( a ) and that when h is finite dimensional and dimti = n, we have a ( a ) = wn ( a ). therefore, it is nature to guess that when h is an infinite dimensional hilbert space, for any space decomposition dn ? ?
首先給出了n次數值域的定義，我們發現n次數值域不但具有一系列和二次數值域類似的性質，而且在給定的條件下還有n次數值域包含在二次數值域當中，另外當是n維hilbert空間時，它的n次數值域就等於它的譜集，前面的結論促使我們猜想，當是無限維hilbert空間時，對的任意的空間分解d _ n ，都應該有下面的式子成立： （ a ） = _ （ d _ n d ） w _ （ d _ n ） ~ n （ a ） 。 -
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。 -
Generalized frames for a hilbert space h were first introduced by g. kaiser [ 2 ] in 1995
隨著小波分析的興起和發展，框架理論得到進一步完善。 1995年， g -
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 -
In the third part, i genelized one theorem of lambert ' s from a hilbert space to a semi - self - conjugate vector space, and some results of reflexivity are attained. in the fourth part, i discussed the algebraic reflexivity of a ( strictly ) cyclic linear transformation on a vector space
1 ，把這個結論從hilbert空間推廣到半自共軛的banach空間，得出一些自反性的結論；第4章討論了線性空間上的（嚴格）循環的線性變換的代數性自反。 -
Besides the existence, this essay also draws the conclusion that the optimal income tax function is lowers semicontinuous on a closed subset of the hilbert space
除了存在性，本文還得出了最優收入稅函數在hilbert空間的一個閉子集上是下半連續的結論。 -
The deducing of the algorithms has very practical value in state estimation for systems under the complex environments. in the instance of complicated multi - channel system with multiplicative noise, the dissertation discusses the optimal estimation of state filtering and smoothing and the stochastic input signal with the technique of innovation and projection theorem of hilbert space. the main study of the dissertation is introduced as follows : 1 according to the practical requirement of complicated multi - channel system with multiplicative noise, the dissertation broadens rajasekaran filtering algorithm
本文針對復雜多通道帶乘性噪聲系統，應用新息的方法和hilbert空間的投影定理，對狀態最優濾波和平滑估計、隨機輸入信號的最優估計等理論與應用方面的問題，進行了進一步的探討，著重完成了以下工作：第一，根據復雜多通道乘性噪聲系統問題的實際需要，推廣了rajasekaran濾波演算法。
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