论文标题
Toeplitz Plus Hankel操作员及其近亲的可逆性问题
Invertibility Issues for Toeplitz plus Hankel Operators and Their Close Relatives
论文作者
论文摘要
本文描述了Toeplitz和Hankel运营商在Hardy和$ l^p $ - 空间，整体和差异Wiener-Hopf以及Hankel Operators和Hankel Operators以及广义Toeplitz和Hankel Operators的可逆性中的各种方法。特别注意一种新开发的方法，该方法允许建立必要的，足够的，充分的和充分的可逆性条件，对广泛的操作员的单方面和普遍的可逆性，并为相应的倒置提供有效的公式。这项工作还包含许多问题，其解决方案在理论和应用上下文中都会引起人们的兴趣。
The paper describes various approaches to the invertibility of Toeplitz plus Hankel operators in Hardy and $l^p$-spaces, integral and difference Wiener-Hopf plus Hankel operators and generalized Toeplitz plus Hankel operators. Special attention is paid to a newly developed method, which allows to establish necessary, sufficient and also necessary and sufficient conditions of invertibility, one-sided and generalized invertibility for wide classes of operators and derive efficient formulas for the corresponding inverses. The work also contains a number of problems whose solution would be of interest in both theoretical and applied contexts.
