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pro vyhledávání: '"Ter Horst, S."'
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 linear systems theory, as used in our earlier analysis in [11] of thi
Externí odkaz:
http://arxiv.org/abs/2409.19113
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 15, 1(2021)), where a Wiener-Hopf type factorization of $\Om$ is obtain
Externí odkaz:
http://arxiv.org/abs/2309.14698
In a recent paper (Groenewald et al.\ {\em Complex Anal.\ Oper.\ Theory} \textbf{15:1} (2021)) we considered an unbounded Toeplitz-like operator $T_\Omega$ generated by a rational matrix function $\Omega$ that has poles on the unit circle $\mathbb{T}
Externí odkaz:
http://arxiv.org/abs/2307.06697
Publikováno v:
In Linear Algebra and Its Applications 15 September 2024 697:155-183
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 April 2024 532(2)
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 for operators acting on essentially incomparable Banach spaces. The exa
Externí odkaz:
http://arxiv.org/abs/2005.14563
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 operators generated by scalar rational functions with poles on T found
Externí odkaz:
http://arxiv.org/abs/2005.14561
Autor:
ter Horst, S, Klem, E. M.
In classical complex analysis analyticity of a complex function $f$ is equivalent to differentiability of its real and imaginary parts $u$ and $v$, respectively, together with the Cauchy-Riemann equations for the partial derivatives of $u$ and $v$. W
Externí odkaz:
http://arxiv.org/abs/1906.09014
Publikováno v:
Integral Equations and Operator Theory, 2019
This paper contains a further analysis of the Toeplitz-like operators $T_\omega$ on $H^p$ with rational symbol $\omega$ having poles on the unit circle that were previously studied in [5.6]. Here the adjoint operator $T_\omega^*$ is described. In the
Externí odkaz:
http://arxiv.org/abs/1812.07239
Publikováno v:
Operator Theory: Advances and Applications, 2019
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 various parts, i.e., point, residual and continuous spectrum, is given,
Externí odkaz:
http://arxiv.org/abs/1804.08941