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- Title
One-sided invertibility of discrete operators with bounded coefficients.
- Authors
Flores-Zapotitla, Luis Eduardo; Karlovich, Yuri I.
- Abstract
For p ∈ (1 , ∞) , we establish several criteria of one-sided invertibility on spaces l p = l p (Z) for discrete band-dominated operators being either absolutely convergent series ∑ k ∈ Z a k V k or uniform limits of band operators of the form A = ∑ k ∈ F a k V k , where F is a finite subset of Z , a k ∈ l ∞ , and the isometric operator V is given on functions f ∈ l p by (V f) (n) = f (n + 1) for all n ∈ Z . We also obtain sufficient conditions of one-sided invertibility on spaces l p with p ∈ (1 , ∞) for the so-called E-modulated and slant-dominated discrete Wiener-type operators.
- Subjects
FINITE, The; ISOMETRICS (Mathematics); TOEPLITZ operators
- Publication
Aequationes Mathematicae, 2021, Vol 95, Issue 4, p699
- ISSN
0001-9054
- Publication type
Article
- DOI
10.1007/s00010-020-00773-8