For \(p\in (1,\infty )\), we establish several criteria of one-sided invertibility on spaces \(l^p=l^p(\mathbb {Z})\) for discrete band-dominated operators being either absolutely convergent series \(\sum _{k\in \mathbb {Z}}a_k V^k\) or uniform limits of band operators of the form \(A=\sum _{k\in F} a_kV^k\), where F is a finite subset of \(\mathbb {Z}\), \(a_k\in l^\infty \), and the isometric operator V is given on functions \(f\in l^p\) by \((Vf)(n) =f(n+1)\) for all \(n\in \mathbb {Z}\). We also obtain sufficient conditions of one-sided invertibility on spaces \(l^p\) with \(p\in (1,\infty )\) for the so-called E-modulated and slant-dominated discrete Wiener-type operators.

对于\（p \ in（1，\ infty）\），我们为离散带主导的算子建立了空间\（l ^ p = l ^ p（\ mathbb {Z}）\）上的单侧可逆性的几个标准是绝对收敛的序列\（\ sum _ {k \ in \ mathbb {Z}} a_k V ^ k \）或形式为\（A = \ sum _ {k \ in F} a_kV ^ k \），其中F是\（\ mathbb {Z} \），\（a_k \ in l ^ \ infty \）的有限子集，等距算子V在函数\（f \ in l ^ p中给出\）由\（（Vf）（n）= f（n + 1）\）表示所有\（n \ in \ mathbb {Z} \）。我们还获得了空间\（l ^ p \）与\（p \ in（1，\ infty）\）上的单侧可逆性的充分条件，用于所谓的E调制和倾斜主导的离散Wiener型算子。