Voir la notice de l'article provenant de la source Cambridge University Press
Agler, Jim; McCarthy, John. Global Holomorphic Functions in Several Non-Commuting Variables II. Canadian mathematical bulletin, Tome 61 (2018) no. 3, pp. 458-463. doi: 10.4153/CMB-2017-044-4
@article{10_4153_CMB_2017_044_4,
author = {Agler, Jim and McCarthy, John},
title = {Global {Holomorphic} {Functions} in {Several} {Non-Commuting} {Variables} {II}},
journal = {Canadian mathematical bulletin},
pages = {458--463},
year = {2018},
volume = {61},
number = {3},
doi = {10.4153/CMB-2017-044-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-044-4/}
}
TY - JOUR AU - Agler, Jim AU - McCarthy, John TI - Global Holomorphic Functions in Several Non-Commuting Variables II JO - Canadian mathematical bulletin PY - 2018 SP - 458 EP - 463 VL - 61 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-044-4/ DO - 10.4153/CMB-2017-044-4 ID - 10_4153_CMB_2017_044_4 ER -
[1] [1] Agier, J. and McCarthy, J. E., Wandering Montel theorems for Hilbert Space valued holomorphic functions. Proc. Amer. Math. Soc. http://dx.doi.Org/10.1090/proc/14086 Google Scholar
[2] [2] Agier, J. and McCarthy, J. E., Global holomorphic functions in several non-commuting variables. Canad. J. Math. 67(2015), no. 2, 241–285. http://dx.doi.org/10.4153/CJM-2014-024-1 Google Scholar
[3] [3] Agier, J. and McCarthy, J. E., Pick Interpolation for free holomorphic functions. Amer. J. Math. 137(2015), 1685–1701. http://dx.doi.org/10.1353/ajm.2015.0042 Google Scholar
[4] [4] Agier, J. and McCarthy, J. E., The implicit function theorem and free algebraic sets. Trans. Amer. Math. Soc. 368(2016), 3157–3175. http://dx.doi.Org/10.1090/tran/6546 Google Scholar
[5] [5] Balasubramanian, Sriram, Toeplitz corona and the Douglas property for free functions. J. Math. Anal. Appl. 428(2015), no. 1, 1–11. http://dx.doi.Org/10.1016/j.jmaa.2015.03.005 Google Scholar
[6] [6] Ball, J. A., Marx, G., and Vinnikov, V., Interpolation and transfer-function realization for the non-commutative Schur-Agler class. In: Operator theory: Advances and applications, 262, Springer, pp. 23–116. http://dx.doi.org/10.1007/978-3-319-62527-0 Google Scholar
[7] [7] Ball, J. A., Marx, G., and Vinnikov, V., Noncommutative reproducing kernel Hilbert Spaces. J. Funct. Anal. 271(2016), no. 7, 1844–1920. http://dx.doi.Org/10.1016/j.jfa.2016.06.010 Google Scholar
[8] [8] Kaashoek, M. A. and Rovnyak, J., On the precedingpaper by R. B. Leech. Integral Equations Operator Theory, 78(2014), no. 1, 75–77. http://dx.doi.org/10.1007/s00020-013-2108-7 Google Scholar
[9] [9] Kaliuzhnyi-Verbovetskyi, Dmitry S. and Vinnikov, Victor, Foundations offree non-commutative function theory. Mathematical Surveys and Monographs, 199. American Mathematical Society, Providence, RI, 2014. http://dx.doi.Org/10.1090/surv/199 Google Scholar
[10] [10] Leech, Robert B., Factorization of analytic functions and Operator inequalities. Integral Equations Operator Theory 78(2014), no. 1, 71–73. http://dx.doi.Org/10.1007/s00020-013-2107-8 Google Scholar
[11] [11] Pascoe, J. E. and Tully-Doyle, R., Free Pick functions: representations, asymptotic behavior and matrix monotonicity in several noncommuting variables. J. Funct. Anal. 273(2017), 283–328. http://dx.doi.Org/10.1016/j.jfa.2O17.04.001 Google Scholar
Cité par Sources :