1) normal Trace class
正常迹类算子
2) positive trace class operator
正迹类算子
1.
By the method of functional analysis,the inequality about the trace of positive semidefinite matrix tr(AB)~k≤(trA)~k(trB)~k is generalized to Hilbert space,and a relevant inequality about positive trace class operator is obtained.
利用泛函分析方法将半正定矩阵迹不等式tr(AB)k≤(trA)k(trB)k,其中k为任意自然数,推广到Hilbert空间,并得到相应的正迹类算子不等式。
3) trace class operator
迹类算子
1.
Decomposition of trace class operators in weakly closed modules over nest algebras;
套代数弱闭模中迹类算子的分解
2.
By using the methods of Fourier series,A compact symmetrics positive definite operator K-r is definited in L~2(G) spaces,and by using the properties that the trace of compact positive definite operator agrees with its trace norm,we obtain that the operator of K-r is trace class operator.
利用Fourier级数为工具,在L2(G)上构造了一个紧对称正定算子Kr,并利用正定的紧算子的迹和其迹范数一致的性质,证明了该算子是一个迹类算子,使之成为研究积分算子本征值分布的一个工具。
4) normal operator
正常算子
1.
Notes on Normal Operators;
关于正常算子的几点注记
2.
For a normal operator T in a complex separable Hilbert space H,we prove that the generalized eigenfunction expansion concerning it isf= limn→∞a→∞nj=1∫ {|z|a}∩M j(U jf)(z)φ j(z)dμ(z) f∈H,where φ j(z):M j→H -(L) is generalized eigenfunction with respect to z.
对于复Hilbert空间上的正常算子 ,当H是可分的空间时 ,与其相关的广义特征函数展开形式为f =limn→∞a→∞ nj=1 ∫{ ｜z｜ a} ∩Mj(Ujf) (z) φj(z)dμ(z) f∈H其中 φj(z) :Mj→H-(L)是关于z的广义特征函数 。
3.
By means of algebraic topology, we obtain a further relationship between the K-groups of the operator algebra of a normal operator in a complex Hilbert space and its spectral set, which has some nice geometric property.
利用代数拓扑方法,获得了复Hilbert空间上正常算子所生成算子代数的K-群与该算子谱几何性质的定性关系。
5) subnormal operator
次正常算子
6) Binormal operators
双正常算子
补充资料：正常（超导）—超导（正常）转变
正常（超导）—超导（正常）转变
transitionfromnormal(superconducting)statetosuperconducting(normal)state
一般指在常压下改变温度到Tc时，物质的电阻从R＞0（R=0）的正常态（超导态）到R=0（R＞0）的超导态（正常态）的转变。无磁场时这种转变属二级相变。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条