斜Toeplitz算子的乘积和交换性

Product and Commutativity of Slant Toeplitz Operators

中文关键词:  Toeplitz算子  斜Toeplitz算子  乘积  交换性.

英文关键词:Toeplitz operator  slant Toeplitz operator  product  commutativity.

中文摘要:

      本文讨论了斜Toeplitz算子的乘积和交换性.我们证明了,除零算子外,$k_{1}$阶斜Toeplitz算子和$k_{2}$阶斜Toeplitz算子的乘积必是$k_{1}k_{2}$阶斜Toeplitz算子,并得到了两个不同阶斜Toeplitz算子的交换性和本性交换性是一致的.

英文摘要:

      In this paper, the product and commutativity of slant Toeplitz operators are discussed. We show that the product of $k_{1}^{th}$-order slant Toeplitz operators and $k_{2}^{th}$-order slant Toeplitz operators must be a $(k_{1}k_{2})^{th}$-order slant Toeplitz operator except for zero operators, and the commutativity and essential commutativity of two slant Toeplitz operators with different orders are the same.