A Toeplitz-like operator with rational symbol having poles on the unit circle. I. Fredholm properties
Date
2018Author
Groenewald, G.J.
Ter Horst, S.
Ran, A.C.M.
Jaftha, J.
Metadata
Show full item recordAbstract
In this paper a definition is given for an unbounded Toeplitzlike operator with rational symbol which has poles on the unit circle. It is shown that the operator is Fredholm if and only if the symbol has no zeroes on the unit circle, and a formula for the index is given as well. Finally, a matrix representation of the operator is discussed
URI
http://hdl.handle.net/10394/31803https://link.springer.com/chapter/10.1007/978-3-030-04269-1_10
https://doi.org/10.1007/978-3-030-04269-1_10