OPERATORS

作品数:904被引量:849H指数:11
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相关领域:理学更多>>
相关作者:郭顺生曹飞龙杨茂周定轩熊静宜更多>>
相关机构:河北师范大学北京师范大学宁夏大学北京邮电大学更多>>
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相关基金:国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划福建省自然科学基金更多>>
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Optimal representation of multivariate functions or data in visualizable low-dimensional spaces被引量:1
《Chinese Science Bulletin》2001年第16期1337-1345,共9页SONG Jian Chinese Academy of Engineering, Beijing 100038, China 
It is intended to find the best representation of high-dimensional functions or multivariate data in L2(W) with fewest number of terms, each of them is a combination of one-variable function. A system of nonlinear int...
关键词:nonlinear integral equations gradient OPERATORS EIGENVALUES orthonormal system of EIGENFUNCTIONS OPTIMAL approximation. 
On the double unitary equivalence of operators
《Chinese Science Bulletin》1997年第24期2058-2060,共3页LI ShaokuanChina Textile University, Shanghai 200051, China 
IN ref. [1] for the subspaces of Hilbert space H the concept of equivalence and a generalizeddimension are introduced. Note that in refs. [2, 3] many results are true only in the separablespace. We introduce a concept...
关键词:UNITARY EQUIVALENCE POLAR DECOMPOSITION SINGULAR decomposition. 
Study of operator reliability in nuclear power plants被引量:4
《Chinese Science Bulletin》1997年第19期1585-1590,共6页Yang, MZ Gao, J Zhao, BQ Huang, XR Shen, ZP 
The study of the reliability of operator’s diagnosis and decision-making during abnormal events with HCR model has been introduced. A new approach has been proposed by the authors to deal with the classification of H...
关键词:NUCLEAR power plant SIMULATOR RELIABILITY of OPERATORS HCR model OPERATOR response time. 
Topological algebras of infinite matrix operators between sequence spaces λ and μ
《Chinese Science Bulletin》1997年第19期1591-1593,共3页WU CongxinDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, China 
SINCE Michael (1952) published the first book about topological algebras, it has become abranch of functional analysis. Applications of topological algebras have been found in complexanalysis of several variables, dif...
关键词:topologiesl ALGEBRA SEQUENCE space INFINITE MATRIX m-convexity metrizability. 
Excited states of coherent state and their nonclassical properties被引量:11
《Chinese Science Bulletin》1997年第20期1686-1688,共3页Wei, LF Wang, SJ Jie, QL 
QUANTIZED radiation fields exhibiting nonclassical properties have been of great theoretical andexperimental interest in the last two decades. It is shown that various nonclassical states suchas squeezed state and Sch...
关键词:inverse of BOSE OPERATORS k -photons EXCITED states of coherent state COMPLETENESS relation NONCLASSICAL effect. 
Entire vectors for unbounded normal operators and abstract Cauchy problems
《Chinese Science Bulletin》1997年第15期1253-1256,共4页LI YangrongDepartment of Mathematics, Southwest Normal University, Chongqing 630715, China 
LET A be a closed operator on a Banach space X, and C~∞ (A)=∩_n~∞=1,D(A^n). The C~∞ vec-tor x is an entire vector for A if sum from n=0 to ∞ (t^n)/(n!)||A^n x||<∞ (1)for all t>0. We will write ε(A) for th...
关键词:C-SEMIGROUPS ANALYTIC SEMIGROUPS normal OPERATORS entire vectors. 
Essential commutant of analytic Toeplitz operators
《Chinese Science Bulletin》1997年第7期548-552,共5页Ding, XH Sun, SH 
LET Bn be the unit ball of Cn. The n-dimensional vector space over the complex field C, Sn=(?)Bn is the boundary of Bn. We use σ to denote the unique rotation-...
关键词:TOEPLITZ OPERATORS INNER function ESSENTIAL commutant. 
Positive elementary operators compressing spectrum被引量:4
《Chinese Science Bulletin》1997年第4期270-274,共5页Zhang, XL Hou, JC 
LET H be an infinite-dimensional complex Hilbert space with inner product <·,·> and B(H) the von Neumann algebra of all bounded linear operators on H. For T∈B(H), σ(T), as usual, will denote the spectrum of ...
关键词:ELEMENTARY OPERATORS SPECTRUM PRESERVER POSITIVE linear maps. 
Linear operators on weighted Herz-type Hardy spaces
《Chinese Science Bulletin》1996年第7期545-548,共4页陆善镇 杨大春 
National Natural Science Foundation of China.
Soria and Weiss extended a Stein’s result,the boundedness of singular integral op-erators on the weighted spaces L^p(w) with power weights w, to more general cases wheresingular integral operators were replaced by su...
关键词:linear OPERATORS WEIGHTS HERZ TYPE HARDY spaces. 
Irreducible Operators and Spectral Pictures
《Chinese Science Bulletin》1994年第24期2025-2027,共3页蒋春澜 续辉 
A (bounded finear) operator T on a (separable, infinite, dimensional, complex) Hilbert space (?) is said to be irreducible if there is no nontrivial (orthogonal) projection P commuting with T. In Ref. [1], Halmos prov...
关键词:SPECTRAL PICTURE IRREDUCIBLE operator. 
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