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math.FA2018★ 7 cited
A Toeplitz-like operator with rational symbol having poles on the unit circle III: the adjoint
G. J. Groenewald, S. Ter Horst, J. Jaftha +1
This paper contains a further analysis of the Toeplitz-like operators on with rational symbol having poles on the unit circle that were previously studied in [5.6].…
math.FA2018★ 6 cited
A Toeplitz-like operator with rational symbol having poles on the unit circle II: the spectrum
G. J. Groenewald, S. ter Horst, J. Jaftha +1
This paper is a continuation of our study of a class of Toeplitz-like operators with a rational symbol which has a pole on the unit circle. A description of the spectrum and its va…
math.FA2018★ 5 cited
A Toeplitz-like operator with rational symbol having poles on the unit circle I: Fredholm properties
G. J. Groenewald, S. ter Horst, J. Jaftha +1
In this paper a definition is given for an unbounded Toeplitz-like operator with rational symbol which has poles on the unit circle. It is shown that the operator is Fredholm if an…