4 papers · 1 filter
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…
Equivalence after extension and Schur coupling for relatively regular operators
S. ter Horst, M. Messerschmidt, A. C. M. Ran
It was recently shown in [24] that the Banach space operator relations Equivalence After Extension (EAE) and Schur Coupling (SC) do not coincide by characterizing these relations f…
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].…