1) analytic Toeplitz operator
解析Toeplitz算子
1.
It is proved that there are some Hypercyclic and Supercyclic operators in the class of co-analytic Toeplitz operators in Hardy space and Bergman space.
首先运用函数论的方法,阐述了在Hardy空间以及Bergman空间上,当符号φ满足某种条件时,余解析Toeplitz算子Tφ为Hypercyclic或Supercyclic算子。
2.
A new method is used to extend the problem about reducing subspaces of analytic Toeplitz operator on disc.
使用一种新的方法推广了单位圆盘上的解析Toeplitz算子Tzn的约化子空间问题。
3.
Famous von Neumann-Wold Theorem tells us that each analytic Toeplitz operatorwith n+1-Blaschke factors is unitary to n+1 copies of unilateral shift on Hardy space.
著名的von Neumann-Wold定理告诉我们：Hardy空间上每个带n+1-Blaschke因子的解析Toeplitz算子酉等价于n+1个单边移位算子的直接和。
2) the analytic Toeplitz operator
解析Toeplitz算子
1.
This paper first gives a complete description of the reducing subspaces of the analytic Toeplitz operator with symbol z N on N φ-type quotient modules on the torus,and then researches the reducible problem of the analytic Toeplitz operator with finite Blaschke product symbol on N φ from the theory of super-isometric dilatable operators.
给出了Nφ-型商模上符号为zN的解析Toeplitz算子的约化子空间的完备刻画,然后从超等距膨胀算子理论的角度研究Nφ-型商模上符号为一般有限Blaschke积的解析Toeplitz算子的约化子空间的存在性问题。
3) co-analytic Toeplitz operator
余解析Toeplitz算子
1.
It is proved that there are some Hypercyclic and Supercyclic operators in the class of co-analytic Toeplitz operators in Hardy space and Bergman space.
首先运用函数论的方法,阐述了在Hardy空间以及Bergman空间上,当符号φ满足某种条件时,余解析Toeplitz算子Tφ为Hypercyclic或Supercyclic算子。
4) toeplitz operator
Toeplitz算子
1.
Representation of Fredholm spectra and convexity of Toeplitz operators on Dirichlet spaces;
Dirichlet空间上的Toeplitz算子组的Fredholm谱表示及凸性
2.
Toeplitz Operators with Quasihomogeneous Symbols of Positive Degree;
正度拟齐次Toeplitz算子的乘积
3.
THE Toeplitz operators on Partial Hardy Space;
部分Hardy空间上的Toeplitz算子
5) Toeplitz operators
Toeplitz算子
1.
A class of Toeplitz operators on Dirichlet spaces of annulus;
圆环上的Dirichlet空间中一类Toeplitz算子
2.
Normality、Subnormality and Hyponormality of Toeplitz Operators and Products of Toeplitz Operators;
正规、次正规、亚正规的Toeplitz算子及Toeplitz算子乘积
3.
The theory of Toeplitz operators is a very wide area .
Toeplitz算子理论是一个很宽的领域。
6) Toeplitz type operator
Toeplitz型算子
1.
ln this paper we define some kind of Hankel and Toeplitz type operators,and study the compactness and S p-criteria for them.
本文中我们定义了一类Hankel和Toeplitz型算子 ,研究了它们的紧性和Sp 性质 。
补充资料：凹算子与凸算子
凹算子与凸算子
concave and convex operators
凹算子与凸算子「阴~皿d阴vex.耳阳.勿韶;.留叮.肠疽“‘.小啊j阅雌口叹甲司 半序空间中的非线性算子，类似于一个实变量的凹函数与凸函数. 一个Banach空间中的在某个锥K上是正的非线性算子A，称为凹的(concave)(更确切地，在K上u。凹的)，如果 l)对任何的非零元x任K，下面的不等式成立: a(x)u。(Ax续斑x)u。，这里u。是K的某个固定的非零元，以x)与口(x)是正的纯量函数; 2)对每个使得 at(x)u。续x《月1(x)u。，al，月l>0，成立的x‘K，下面的关系成立二 A(tx))(l+，(x，t))tA(x)，0
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