緊運算元 的英文怎麼說

中文拼音 [jǐnyùnsuànyuán]
緊運算元 英文
kompakter operator compact operator
  • 緊 : Ⅰ形容詞1 （物體受到幾方面的拉力或壓力以後呈現的緊張狀態） taut; tight 2 （物體受外力作用變得固定...
  • 運 : Ⅰ動詞1 （物體位置不斷變化） move; revolve 2 （搬運; 運輸） carry; transport 3 （運用） use; wield...
  • 算 : Ⅰ動詞1 （計算數目） calculate; reckon; compute; figure 2 （計算進去） include; count 3 （謀劃;計...
  • 運算 : [數學] operation; arithmetic; operating
  1. In chapter 3, we will estimate the first eigenvalue of laplacian from below on manifolds with a little negative curvature. in chapter 4, we will prove the existence of bounded nontrivial harmonic functions on some classes of complete manifolds which will generalize the results of s. y. cheng ' s

    在第三章，我們將給出具有小負曲率的流形上laplace運算元的第一特徵值的下界估計；第四章，我們會給出一類完備非緊流形上非平凡的有界調和函數的存在性，推廣了s . y . cheng的結果。
  2. The article stated here will give some remarks to the following equation in two cases : for the case > 0, the equation expresses the eigenvalue of the laplacian while for the case = 0, it is the existence of nontriv - ial bounded harmonic functions on complete noncompact manifolds

    本文中我們主要分兩種情況來討論了關于laplace運算元的方程： u + u = 0 ， r ~ + { 0 }對應於0 ，是riemann流形上laplace運算元的特徵值問題，而對應于= 0則是完備非緊流形上非平凡的有界調和函數的存在性問題。
  3. Then the following state - ments are equivalent : ( 1 ) 0 is an isolated point in ( 2 ) a is a finite rank operator ; is the spectral projector associated with. theorem4. 5 let a be a compact normal operator, is an isolated point in prop4. 13 let a be a compact normal operator, ao is an isolated point in a ( a )

    定理乏止設a是緊正常運算元，則下列條件等價： （ ）是o （ a ）的孤立盧、 ；仰a是有限秩運算元； w 2n間a二一，其中燦1 ， …為」 （用自所有的互不相同的孤立點，民： h ?馬人一川為關于入的譜投影運算元
  4. By introducing weighted space and using the method of priori estimatehe, uniformly compactness are achieved for s ( t ) in weighted space to overcome the noncom - pactness of the classical sobolev embedding in unbounded domain

    在加權空間進行先驗估計，獲得解運算元s （ t ）在加權空間緊的有界吸收集，從而在加權空間得到整體吸引子的存在性。
  5. We study the relation of carleson measure and toeplitz operator on bergman space of bounded symmetry domians, and give a charactering of a composition operator, also give a charactering of bounded and compact weighted composition operator

    研究了有界對稱域上bergman空間的carleson測度與toeplitz運算元的關系。研究了有界對稱域上bergman空間上復合運算元的一個特性。給出了加權復合運算元的有界性及緊性的刻畫。
  6. The existence of fixed point for some class of order - compression decreasing operators is studied, and some existence and uniqueness theorems are obtained. finally, we give an example of application

    摘要研究了在序壓縮條件下非緊減運算元的不動點的存在性，得到了新的不動點定理，並給出了一個應用的例子。
  7. The second part consist of chapter four. in chapter one, we study the energy density of harmonic map from finsler manifold and generalize classical result in [ se ]. in chapter two, we obtain lower estimates for the first eigenvalue of the laplace operator on a compact finsler manifold, and it generalize lichnerowicz - obata theorem [ li ] [ ob ]. in chapter three, we derive the first and second variation formula for harmonic maps between finsler manifolds. as an application, some nonexistence theorems of nonconstant stable harmonic maps from a finsler manifold to a riemannian manifold are given

    第一章討論finsler流形到黎曼流形調和映射的能量密度的間隙性，推廣了[ se ]中的結果。第二章對緊致finsler流形上laplace運算元的第一特徵值的下界作了估計，推廣了黎曼流形上的lichnerowicz - obata定理[ li ] [ ob ] 。
  8. Russell ( [ 17 ] ) has showed that, a compact perturbation, generated from unitary operator groups in infinite - dimensional linear hilbert spaces, is unable to make the perturbed semigroup exponentially stable

    Russell （ [ 17 ] ）曾指出，無限維hilbert空間中的酉運算元群對生成的緊擾動不能使被擾動半群具有指數穩定性。
  9. In the second chapter, the kdv type equation on unbounded domain is considered. applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space, the existence of exponential attractor is obtained

    在第二章中，運用帶權空間構造一類緊運算元和運算元分解的方法，研究了無界區域上的kdv型方程，得到了該方程指數吸引子的存在性
  10. We show that there is a one - to - one correspondence between the complex symmetric compact set and the spectrum of the real operator

    指出任何復對稱緊集均與一實運算元的譜一一對應。
  11. The range of m - accretive operator ' noncompact perturbation

    增生運算元非緊性擾動的值域
  12. Compact characterizations of composition operators on bergman space

    空間上復合運算元的緊性刻劃
  13. 2. by doing precise computation of spectral radius of linear operator of linear equation and by using measure of noncompactness and leray - schauder type fixed point theorem of condensing mapping, the existence and the uniqueness of the solutions are obtained, which extend the results recently achieved in this field

    二、通過線性方程解運算元譜半徑的論證，在緊型條件下利用凝聚映射的leray - schauder不動點定理及冪壓縮映射不動點定理，獲得了解的存在性與唯一性結果，這些結果推廣了近期這方面已有的一些結果。
  14. The properties of am - compact operators

    緊運算元的控制性質
  15. Completely compact operator

    完全緊運算元
  16. By applying the singular system of campact operator and the method of posteriori choosing determine the regular parameter, we can also prove the convergence of the regularized solution given [ 1 ]

    摘要本文利用緊運算元的奇異系統后驗選取正則參數，證明了文[ 1 ]中的改進的正則化解是收斂的。
  17. A classification of certain separable c * - algebras of real rank zero with trivial ki - group is given in second part. we construct all the extensions of cuntz algebras by the compact operators, and compute their k - theory

    第二部分討論了某些具有實秩零及平凡的k _ 1群的可分c ~ * -代數的分類，我們先構造出cuntz代數通過緊運算元的所有的擴張，並計算它們的k -群。
  18. 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。
  19. Two important subspaces introduced by m. mbekhta in 1987 [ 4 ]. ( they are usually called mbekhta subspaces. ) in the following years, mbekhta subspaces have been widely used in spectral theory of bounded operators and compact operators, the single - valued extension property ( svep ) of bounded operators, and so on

    Mbekhta再[ 4 ]中定義了兩個著名的子空間： （我們通常稱它們為mbekhta子空間）隨后幾年，人們將mbekhta子空間廣泛地應用於有界線性運算元、緊運算元的譜理論，有界線性運算元的單值擴張性質（ svep ） ，等等。
  20. In the second part, a class of left - continuous isomorphic to r0 t - norm are given. the concept of isomorphism among implication operators is introduced and it is proved that two implication operators are isomorphic if and only if the two t - norms residuated to them respectively are isomorphic. moreover, modifications of classes of a - tautologies under isomorphisms are investigated

    緊接著，引入了蘊涵運算元同構的概念，並對伴隨情況下t -模同構與蘊涵運算元同構之間的關系進行了討論，初步研究了同構的蘊涵運算元對-重言式類的影響，得到了關于系統的廣義重言式分類定理。
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