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Constantinescu, T.; Johnson, J. L. A Note on Noncommutative Interpolation. Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 59-70. doi: 10.4153/CMB-2003-006-4
@article{10_4153_CMB_2003_006_4,
author = {Constantinescu, T. and Johnson, J. L.},
title = {A {Note} on {Noncommutative} {Interpolation}},
journal = {Canadian mathematical bulletin},
pages = {59--70},
year = {2003},
volume = {46},
number = {1},
doi = {10.4153/CMB-2003-006-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-006-4/}
}
TY - JOUR AU - Constantinescu, T. AU - Johnson, J. L. TI - A Note on Noncommutative Interpolation JO - Canadian mathematical bulletin PY - 2003 SP - 59 EP - 70 VL - 46 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-006-4/ DO - 10.4153/CMB-2003-006-4 ID - 10_4153_CMB_2003_006_4 ER -
[1] [1] Agler, J. and McCarthy, J. E., Complete Nevanlinna-Pick kernels. J. Funct. Anal. 175 (2000), 111–124. Google Scholar
[2] [2] Arias, A. and Popescu, G., Noncommutative interpolation and Poisson transforms. Israel J. Math. 115 (2000), 205–234. Google Scholar
[3] [3] Arveson, W., Subalgebras of C*-algebras III: Multivariable operator theory. Acta Math. 181 (1998), 476–514. Google Scholar
[4] [4] Ball, J. A., Gohberg, I. and Kaashoek, M. A., Nevanlinna-Pick interpolation problem for time-varying input-output maps: The discrete case. In: Operator Theory: Advances and Applications, Vol. 56, Birkhäuser, 1992, 1–51. Google Scholar
[5] [5] Constantinescu, T., Schur Parameters, Factorization and Dilation Problems. Birkhäuser, 1996. Google Scholar
[6] [6] Constantinescu, T. and Johnson, J. L., Tensor algebras and displacement structure I. The Schur algorithm. Preprint, 2001. Google Scholar
[7] [7] Constantinescu, T., Sayed, A. H. and Kailath, T., Inverse scattering experiments, structured matrix inequalities, and tensor algebras. Linear Alg. Appl., to appear. Google Scholar
[8] [8] Davidson, K. R. and Pitts, D. R., The algebraic structure of non-commutative analytic Toeplitz algebras. Math. Ann. 311 (1998), 275–303. Google Scholar
[9] [9] Davidson, K. R. and Pitts, D. R., Nevanlinna-Pick interpolation for noncommutative analytic Toeplitz algebras. Integral Equations Operator Theory 31 (1998), 321–337. Google Scholar
[10] [10] Dewilde, P. and Dym, H., Interpolation for upper triangular operators. In: Operator Theory: Advances and Applications, Vol. 56, Birkhäuser, 1992, 153–260. Google Scholar
[11] [11] Kailath, T. and Sayed, A. H., Displacement structure: theory and applications. SIAM Rev. 37 (1995), 297–386. Google Scholar
[12] [12] Parthasarathy, K. R., An Introduction to Quantum Stochastic Calculus. Birkhäuser, 1992. Google Scholar
[13] [13] Popescu, G., Interpolation problems in several variables. J. Math. Anal. Appl. 227 (1998), 227–250. Google Scholar
[14] [14] Sayed, A. H., Constantinescu, T. and Kailath, T., Lattice structures for time variant interpolation problems. In: Proc. IEEE Conf. Decision and Contr., Vol. 1, Tucson, 1992, 116–121. Google Scholar
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