A constrained Nevanlinna-Pick interpolation problem for matrix-valued functions

Autor: Ball, J. A., Bolotnikov, V., ter Horst, S.

Publikováno v: Indiana University Mathematics Journal 59 (2010), 15-51

Recent results of Davidson-Paulsen-Raghupathi-Singh give necessary and sufficient conditions for the existence of a solution to the Nevanlinna-Pick interpolation problem on the unit disk with the additional restriction that the interpolant should hav

Externí odkaz: http://arxiv.org/abs/0809.2345

Nevanlinna-Pick Interpolation: Pick Matrices Have Bounded Number of Negative Eigenvalues

Autor: Bolotnikov, V., Kheifets, A., Rodman, L.

Publikováno v: Proceedings of the American Mathematical Society, 2004 Mar 01. 132(3), 769-780.

Externí odkaz: https://www.jstor.org/stable/1194696

A toeplitz-like operator with rational symbol having poles on the unit circle II

Autor: Groenewald, G. J., ter Horst, S., Jaftha, J., Ran, A. C.M., Bolotnikov, V., Ran, A.C.M., Vinnikov, V.

Publikováno v: Groenewald, G J, ter Horst, S, Jaftha, J & Ran, A C M 2019, A toeplitz-like operator with rational symbol having poles on the unit circle II : The spectrum . in V Bolotnikov, S ter Horst, A C M Ran & V Vinnikov (eds), Interpolation and Realization Theory with Applications to Control Theory : In honor of Joe Ball . Operator Theory: Advances and Applications, vol. 272, Springer International Publishing AG, pp. 133-154 . https://doi.org/10.1007/978-3-030-11614-9_7
Interpolation and Realization Theory with Applications to Control Theory ISBN: 9783030116132
Interpolation and Realization Theory with Applications to Control Theory: In honor of Joe Ball, 133-154
STARTPAGE=133;ENDPAGE=154;TITLE=Interpolation and Realization Theory with Applications to Control Theory

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: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8836bbbaceda72e13f2effd10f01f150
https://doi.org/10.1007/978-3-030-11614-9_7

The twofold ellis–gohberg inverse problem in an abstract setting and applications

Autor: ter Horst, S., Kaashoek, M. A., van Schagen, F., Bolotnikov, V., Ran, A.C.M., Vinnikov, V.

Publikováno v: Interpolation and Realization Theory with Applications to Control Theory ISBN: 9783030116132
ter Horst, S, Kaashoek, M A & van Schagen, F 2019, The twofold ellis–gohberg inverse problem in an abstract setting and applications . in V Bolotnikov, S ter Horst, A C M Ran & V Vinnikov (eds), Interpolation and Realization Theory with Applications to Control Theory : In honor of Joe Ball . Operator Theory: Advances and Applications, vol. 272, Springer International Publishing AG, pp. 155-212 . https://doi.org/10.1007/978-3-030-11614-9_8
Interpolation and Realization Theory with Applications to Control Theory: In honor of Joe Ball, 155-212
STARTPAGE=155;ENDPAGE=212;TITLE=Interpolation and Realization Theory with Applications to Control Theory

In this paper we consider a twofold Ellis–Gohberg type inverse problem in an abstract *-algebraic setting. Under natural assumptions, necessary and sufficient conditions for the existence of a solution are obtained, and it is shown that in case a s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c5f10eb719742ebc533883d5b990a97
https://doi.org/10.1007/978-3-030-11614-9_8

Preface

Autor: Bolotnikov, Vladimir, Ter Horst, Sanne, Ran, André C.M., Vinnikov, Victor, Bolotnikov, V., ter Horst, S., Ran, A.C.M., Vinnikov, V.

Publikováno v: Interpolation and Realization Theory with Applications to Control Theory: In Honor of Joe Ball, vii-vii
STARTPAGE=vii;ENDPAGE=vii;TITLE=Interpolation and Realization Theory with Applications to Control Theory

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=narcis______::592b433c0b4b655622a3c0cd8bfa0a8c
https://research.vu.nl/en/publications/a81f3a75-7c49-41e1-89f6-0c72b08b46e0