7 citations · 18 across the 7 of their papers we have counts for
7 papers
A Toeplitz-like operator with rational matrix symbol having poles on the unit circle:\ Matrix representation and spectral analysis
G. J. Groenewald, S. ter Horst, J. Jaftha +1
In this paper we consider a class of unbounded Toeplitz operators with rational matrix symbols that have poles on the unit circle and employ state space realization techniques from…
A Toeplitz-like operator with rational matrix symbol having poles on the unit circle: Invertibility and Riccati equations
G. J. Groenewald, S. ter Horst, J. Jaftha +1
This paper is a continuation of the work on unbounded Toeplitz-like operators $T_\Om$ with rational matrix symbol $\Om$ initiated in Groenewald et. al (Complex Anal. Oper. Theory 1…
A Toeplitz-like operator with rational matrix symbol having poles on the unit circle: Fredholm characteristics
G. J. Groenewald, S. ter Horst, J. J. Jaftha +1
In a recent paper (Groenewald et al.\ {\em Complex Anal.\ Oper.\ Theory} \textbf{15:1} (2021)) we considered an unbounded Toeplitz-like operator generated by a rational matri…
A Toeplitz-like operator with rational matrix symbol having poles on the unit circle: Fredholm properties
G. J. Groenewald, S. ter Horst, J. Jaftha +1
This paper concerns the analysis of an unbounded Toeplitz-like operator generated by a rational matrix function having poles on the unit circle T. It extends the analysis of such o…
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].…
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…
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…