compact operator 中文意思是什麼
compact operator
解釋
緊運算元-
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 -
Lipschitz - operator algebras on non - compact metric space
空間上運算元代數的超自反性 -
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。 -
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 ] 。 -
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。 -
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 -
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。 -
Completely compact operator
完全緊運算元 -
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。 -
The abstract boundary value problem of non - selfadjoint and non - compact operator with reflective boundary condition
具反射邊界條件的非自伴非緊的抽象邊值問題 -
Composition operators on a space of analytic operator functions are defined. a sufficient condition is obtained to the composition operators with compact and closed range
摘要在解析運算元函數所形成的空間上定義復合運算元,給出此復合運算元的緊性和閉值域性質。 -
Compact power bounded operator
緊冪有界運算元 -
In the first chapter, we study a sufficent condition for a operator is compact on bergman space of the unit ball
本文在第一章中就復超球上bergman空間上的運算元為緊的充分條件進行了研究,在附加了一定的條件,給出了運算元為緊的充分條件。 -
In the third chapter, we use the tool of carleson measure, charactering the bounded and compact of weighted composition operator on bergman space on strongly pseudoconvex domains, these results generalized the results of g. mirzakarimi and k. seddighi
在第三章,利用carleson測度這一工具,刻劃了有界強擬凸域上bergman空間上加權復合運算元的有界性及緊性。推廣了g . mirzakarimi與k . seddighi在單位圓盤上加權bergman空間上獲得的結論。 -
In the six chapter, we use the methods of reproducing kernel and carleson measure charactering the pointwise multipliers on the hardy space, bergman space on the polydiscs, we also obtain a necessary condition for a composition operator to be a compact operator, and a addition result on the range of composition operator on the hardy space
在第六章中,我們利用再生核與carleson測度刻畫了多圓hardy空間到bergman空間,以及bergman空間到bergman空間的點乘子,得到hardy空間與bergman空間上復合運算元為緊的一個必要條件,以及在hardy空間上關于復合運算元值域的一個結果 -
Compact structure, easy for operation and maintenance ; good safety design provide good protect to operator
結構緊湊,操作維護簡便,安全保護齊全。 -
Theoreme 3. 4 let p be a regular cone in e and a : be an increasing operator such that then a has a maximal fixed point u * and a minimal fixed point it, in [ u0, u0 ] i moreover theoreme 3. 5 h c lc [ r +, e ] is relatively compact if and only if 10 the function in h is equicontinuous in [ 0, 6 ] for any b > 0, 20 h ( t ) = is relatively compact in e for any t r +, 30 when is uniform for any x ? h theoreme 3. 7 h c fc ' [ r +, e ] is relatively compact is and only if 10 the function in h is equicontinuous in [ a
川e d人qn v , q都有。丘口川三(三…三un )三…三u小) s ( v 」 k1 … 1 ) 、什i … ) ; (門) n (八wc人第三節,作為預備知識首先討論了空間lc r , e中的錐與bclllch空間e中的錐的關系,然後給出了無窮區間上兩類抽象連續由數族相對緊的充要條件,並用它lfl考察了一階微分方程的終值問題和fredholm型積分方程解的存在性 -
A power weighted ineguality for sublinear operator over locally compact vilenkin groups
群上次線性運算元的一個加冪權不等式 -
At last, we give answers to two questions proposed by madigan and matheson. new criterion for compactness is obtained : a composition operator c on little bloch space bo is compact if and only if log belong to b0 uniformly for w d. we give an example of 97, such that c is compact on little bloch space b0 and the set d has infinite many points
最後研究了bloch空間上的緊復合運算元,回答了madigan和matheson所提出的關于緊復合運算元的兩個問題,得到新的緊性判定法則:復合運算元c _在小bloch空間b _ 0上是緊的,當且僅當對(
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