Abstract
Conditions are established under which Fredholmness, Coburn's property and one- or two-sided invertibility are shared by a Toeplitz operator with matrix symbol G and the Toeplitz operator with scalar symbol det G. These results are based on one-sided invertibility criteria for rectangular matrices over appropriate commutative rings and related scalar corona type problems.
Original language | English (US) |
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Pages (from-to) | 58-82 |
Number of pages | 25 |
Journal | Linear Algebra and Its Applications |
Volume | 459 |
DOIs | |
State | Published - Oct 15 2014 |
Keywords
- Coburn's property
- Corona problem
- One-sided invertibility
- Toeplitz operator
- Wiener-Hopf factorization
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics