This paper is concerned with the influence of frequency modulation on the semi-Fredholm properties of Toeplitz operators with oscillating matrix symbols. The main results give conditions on an orientation-preserving homeomorphism a of the real line that ensure the following: if b belongs to a certain class of oscillating matrix functions (periodic, almost periodic, or semi-almost periodic matrix functions) and the Toeplitz operator generated by the matrix function b (x) is semi-Fredholm, then the Toeplitz operator with the matrix symbol b (a (x)) is also semi-Fredholm.
|Original language||English (US)|
|Number of pages||20|
|Journal||International Journal of Mathematics and Mathematical Sciences|
|State||Published - 2003|
ASJC Scopus subject areas
- Mathematics (miscellaneous)