H^2(T^n)上Toeplitz算子的特征方程组及其乘积  

The Character Equation and Product of Toeplitz Operators on H^2(T^n)

作　　者：杨立敏[1] 

机构地区：[1]山东东营石油大学数学系,山东东营257062

出　　处：《应用泛函分析学报》2003年第4期338-342,共5页Acta Analysis Functionalis Applicata

摘　　要：　给出了H2(Tn)(n 2)上Toeplitz算子的特征方程组:T*ziTTzi=T,并在此基础上证明了两个Topelitz算子相乘,φ∈L∞(Tn),TTφ仍为Toeplitz算子的充要条件:对z1,z2,…,zn中某些变量共轭解析,φ对余下变量解析,且乘积为Tφ.This paper gives the character equation of Toeplitz operators and by the character equations there goes that φ, φ∈L~∞(T^n) the product T_(φ)T_φ of T_(φ) and T_φ is still Toeplitz operator if and only if φ is co-analytic foir some variables of z_1, z_2,...,z_n and φ is analytic for the others. The product is T_(φ φ).

关 键 词：TOEPLITZ算子 乘积 特征方程 共轭 充要条件 变量 证明 解析 

分 类 号：O177[理学—数学] O151[理学—基础数学]