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- Title
A note on generalized invertibility and invariants of infinite matrices.
- Authors
Seidel, Markus
- Abstract
The classes of band-dominated operators and the subclass of operators in the Wiener algebra W are known to be inverse closed. This paper studies and extends partially known results of that type for one-sided and generalized invertibility. Furthermore, for the operators in the Wiener algebra W invertibility, the Fredholm property and the Fredholm index are known to be independent of the underlying space l p , 1 ≤ p ≤ ∞ . Here this is completed by the observation that even the kernel and a suitable direct complement of the range as well as generalized inverses of operators in W are invariant w.r.t. p.
- Subjects
C*-algebras; OPERATOR algebras; FREDHOLM operators; MATRICES (Mathematics); CIRCULANT matrices
- Publication
Aequationes Mathematicae, 2022, Vol 96, Issue 3, p639
- ISSN
0001-9054
- Publication type
Article
- DOI
10.1007/s00010-021-00810-0