閉運算元 的英文怎麼說
中文拼音 [bìyùnsuànyuán]
閉運算元
英文
[數學] closed operator-
If t=s, the binary operation is said to be closed.
當TS時,二元運算叫做封閉的運算。Second, we discuss composition operators on bloch space with closed range. by using a distortion theorem of bonk, minda and yanagihara about bloch functions, we obtain the sharp estimation of the lipschitz continuity of the dilation of bloch functions. then, we improve a theorem of ghatage, yan and zheng about composition operators on bloch space with closed range
其次研究了bloch空間上有閉值域的復合運算元,先利用bonk 、 minda和yanagihara關于bloch函數的一個偏差定理,得到bloch函數伸縮率的lipschitz連續性的精確估計式,用這個估計式改進了ghatage 、 yan和zheng關于bloch空間上關于有閉值域的復合運算元的一個定理。On closeness of principal bands in lattices of operators
關于運算元格的主帶的閉性質It is perhaps worth a short digression to discuss the possibility of the range of an operator not being closed, and its consequences.
在此值得稍離本題討論運算元的值域非閉的可能性及其推論。In this paper, we discusse the stability of perturtation of m - p inverses of closed operator function and then the stability of least square solution of elliptic partial differential equations of second order with unbounded coefficients
本文討論了閉運算元的m - p廣義逆的擾動,並由此討論首項系數本質無界的二階散度型橢圓型微分方程的最小范數極小二乘解的穩定性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Then is a ci operator if and only if 2 ) if ( a ). then. 4 - a is a ci operator if and only if r ( a - a ) is not
貝a人為q運算元一a人不是閉集,或者r卜一v一r卜一川chThe closure of the unitary orbit of thestrongly irreducible operators in continuous nest algebra
連續套代數中強不可約運算元的酉軌道閉包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。Closed symmetric operator
閉對稱運算元The integral operator is introduced such that the control system achieves a zero steady state error
滑模面中積分運算元的引入確保了閉環系統零穩態誤差的性能要求。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。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。Closed linear operator
閉線性運算元We also give out the notion of mild degenerate a - times integrated existence family, and prove that the wellposedness of the a - times abstract cauchy problems is equivalent to mild degenerate a - times integrated existence famliy generated by operator a where a satisfies with some conditions and degenerate a - times integrated semigroups mild generated by a. at last, we conclude the generation theorem of degenerate a - times integrated semigroups. and we prove that degenerate a - times integrated semigroups mild generated by a is equivalent to generated by a
我們也給出了mild退化-次積分存在族的概念。我們證明了, ( + 1 ) ( r ) -次抽象cauchy問題的適定性和閉線性運算元a在一定條件下, a的mild退化-次積分存在族以及a次生成退化的-次積分半群是等價的。最後,我們也給出了退化-次積分半群的生成定理。Similarly, we prove that the c - wellposedness of the a - times abstract cauchy problems is equivalent to mild degenerate a - times integrated c - existence famliy mild generated by operator a where a satisfies with some conditions and degenerate a - times integrated semigroups mild generated by a. finally, we obtain the generation theorem of degenerate a - times integrated c - semigroups. and we prove that degenerate a - times integrated c - semigroups mild generated by a is equivalent to generated by a
我們同樣證明了( + 1 ) ( r ) -次抽象cauchy問題的c -適定性和閉線性運算元a在一定條件下,其mild退化-次積分c存在族以及a次生成退化-次積分正則半群是等價的。我們也證明了退化-次積分正則半群的生成定理。The guaranteed cost control problem of robust stabilization and robust performance for uncertain systems which is described by 8 operator is discussed in this paper. the condition of existing guaranteed cost controller is analyzed and proved in which the method of linear matrix inequality ( lmi ) is used. a output feedback controller of the uncertain discrete time system described by 6 operator is designed, which guarantees the system is quadratic stabilization
採用線性矩陣不等式( lmi )處理方法研究了delta運算元描述的不確定離散系統的輸出反饋保成本控制問題,設計了輸出反饋控制器,使得閉環不確定系統不僅是魯棒穩定的,而且對所有允許的不確定性,給定二次型性能指標的閉環性能值不超過某個確定的上界。T - regular points of closed - range of banach space operators
空間運算元閉值域區域的正則劃分One is, based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping. two is to consider the convexity, closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions
研究分有三個方面:一是藉助于偏序理論在有限維歐氏空間中解決了上述公開問題,在此基礎上利用集值映射的-預解運算元,研究了廣義集值變分包含問題解的存在性、逼近解的全局誤差界、參數唯一解的靈敏性,並提出了一類變參數三步迭代演算法;二是藉助于圖收斂理論研究了一般集值變分包含問題解集的凸性、閉性和有界性以及參數解集的靈敏性;三是用分析的方法直接討論了集值混合擬類變分不等式問題解的存在性並提出了一類求解廣義集值變分包含問題的直接變參數三步迭代演算法。Compared with the previous model, the most important advantage of this improvement is that the close - open operator is used in the diffusion process, giving a good trade - off between noise removal and edge preservation
主要的想法是在中值曲率驅動方程模型中結合閉開運算元,在較好保護邊界的前提下,增強方程的去噪能力,達到去噪和保護邊界的一個平衡。分享友人