Free pluriharmonic majorants and commutant lifting

Agler, 2002, Pick Interpolation and Hilbert Function Spaces, vol. 44

Arias, 2000, Noncommutative interpolation and Poisson transforms, Israel J. Math., 115, 205, 10.1007/BF02810587

Arveson, 1998, Subalgebras of C∗-algebras III: Multivariable operator theory, Acta Math., 181, 159, 10.1007/BF02392585

Arveson, 2000, The curvature invariant of a Hilbert module over C[z1,…,zn], J. Reine Angew. Math., 522, 173

Ball, 2001, Interpolation and commutant lifting for multipliers on reproducing kernels Hilbert spaces, vol. 122, 89

Ball, 2005, Lax–Phillips scattering and conservative linear systems: A Cuntz-algebra multidimensional setting, Mem. Amer. Math. Soc., 837

Biswas, 1999, Weighted commutant lifting, Acta Sci. Math. (Szeged), 65, 657

Bunce, 1984, Models for n-tuples of noncommuting operators, J. Funct. Anal., 57, 21, 10.1016/0022-1236(84)90098-3

Carathéodory, 1907, Über den Variabilitätsbereich der Koeffizienten von Potenzreihen die gegebene Werte nicht annehmen, Math. Ann., 64, 95, 10.1007/BF01449883

Carathéodory, 1911, Über den Zusammenhang der Extremen von harmonischen Funktionen mit ihren Koeffizienten und über den Picard–Landau'chen Satz, Rend. Circ. Mat. Palermo, 32, 218, 10.1007/BF03014796

Cuntz, 1977, Simple C∗-algebras generated by isometries, Comm. Math. Phys., 57, 173, 10.1007/BF01625776

Davidson, 1998, Nevanlinna–Pick interpolation for noncommutative analytic Toeplitz algebras, Integral Equations Operator Theory, 31, 321, 10.1007/BF01195123

Davidson, 1998, The algebraic structure of non-commutative analytic Toeplitz algebras, Math. Ann., 311, 275, 10.1007/s002080050188

Davidson, 1999, Invariant subspaces and hyper-reflexivity for free semigroup algebras, Proc. London Math. Soc., 78, 401, 10.1112/S002461159900180X

Davidson, 2001, The structure of free semigroup algebras, J. Reine Angew. Math., 533, 99

Davidson, 2001, Isometric dilations of non-commuting finite rank n-tuples, Canad. J. Math., 53, 506, 10.4153/CJM-2001-022-0

Davidson, 2005, Absolutely continuous representations and a Kaplansky density theorem for free semigroup algebras, J. Funct. Anal., 224, 160, 10.1016/j.jfa.2004.08.005

Duren, 1970

Frazho, 1982, Models for noncommuting operators, J. Funct. Anal., 48, 1, 10.1016/0022-1236(82)90057-X

Frazho, 2006, All solutions to the relaxed commutant lifting problem, Acta Sci. Math. (Szeged), 72, 299

Foiaş, 1990, The commutant lifting approach to interpolation problems

Foiaş, 1998, Metric Constrained Interpolation, Commutant Lifting and Systems, vol. 100

Foiaş, 2002, Relaxation of metric constrained interpolation and a new lifting theorem, Integral Equations Operator Theory, 42, 253, 10.1007/BF01193630

Gohberg, 1993, Classes of Linear Operators, Vol. II, vol. 63

Helton, 2002, “Positive” noncommutative polynomials are sums of squares, Ann. of Math. (2), 156, 675, 10.2307/3597203

Helton, 2004, A Positivstellensatz for non-commutative polynomials, Trans. Amer. Math. Soc., 356, 3721, 10.1090/S0002-9947-04-03433-6

Helton, 2004, A non-commutative Positivstellensatz on isometries, J. Reine Angew. Math., 568, 71

Helton, 2006, Matrix representations for positive noncommutative polynomials, Positivity, 10, 145, 10.1007/s11117-005-0013-2

Helton, 2006, Noncommutative convexity arises from linear matrix inequalities, J. Funct. Anal., 240, 105, 10.1016/j.jfa.2006.03.018

Herglotz, 1911, Über Potenzreihen mit positiven, reelen Teil im Einheitkreis, Ber. Verh. Königl. Sächs. Gesellsch. Wiss. Leipzig, Math.-Phys. Kl., 63, 501

Muhly, 1998, Tensor algebras over C∗-correspondences: Representations, dilations, and C∗-envelopes, J. Funct. Anal., 158, 389, 10.1006/jfan.1998.3294

Muhly, 2004, Hardy algebras, W∗-correspondences and interpolation theory, Math. Ann., 330, 353, 10.1007/s00208-004-0554-x

Nevanlinna, 1919, Über beschränkte Functionen, die in gegebenen Punkten vorgeschriebene Werte annehmen, Ann. Acad. Sci. Fenn. Ser. A, 13

Pick, 1916, Über die Beschränkungen analytischer Functionen welche durch vorgebene Functionswerte bewirkt sind, Math. Ann., 77, 7, 10.1007/BF01456817

Pisier, 1995, Similarity Problems and Completely Bounded Maps, vol. 1618

Popescu, 1989, Models for infinite sequences of noncommuting operators, Acta Sci. Math. (Szeged), 53, 355

Popescu, 1989, Isometric dilations for infinite sequences of noncommuting operators, Trans. Amer. Math. Soc., 316, 523, 10.1090/S0002-9947-1989-0972704-3

Popescu, 1989, Characteristic functions for infinite sequences of noncommuting operators, J. Operator Theory, 22, 51

Popescu, 1989, Multi-analytic operators and some factorization theorems, Indiana Univ. Math. J., 38, 693, 10.1512/iumj.1989.38.38033

Popescu, 1991, Von Neumann inequality for (B(H)n)1, Math. Scand., 68, 292, 10.7146/math.scand.a-12363

Popescu, 1992, On intertwining dilations for sequences of noncommuting operators, J. Math. Anal. Appl., 167, 382, 10.1016/0022-247X(92)90214-X

Popescu, 1995, Functional calculus for noncommuting operators, Michigan Math. J., 42, 345, 10.1307/mmj/1029005232

Popescu, 1995, Multi-analytic operators on Fock spaces, Math. Ann., 303, 31, 10.1007/BF01460977

Popescu, 1996, Noncommutative disc algebras and their representations, Proc. Amer. Math. Soc., 124, 2137, 10.1090/S0002-9939-96-03514-9

Popescu, 1998, Interpolation problems in several variables, J. Math. Anal. Appl., 227, 227, 10.1006/jmaa.1998.6101

Popescu, 1999, Poisson transforms on some C∗-algebras generated by isometries, J. Funct. Anal., 161, 27, 10.1006/jfan.1998.3346

Popescu, 2001, Structure and entropy for positive definite Toeplitz kernels on free semigroups, J. Math. Anal. Appl., 254, 191, 10.1006/jmaa.2000.7240

Popescu, 2001, Curvature invariant for Hilbert modules over free semigroup algebras, Adv. Math., 158, 264, 10.1006/aima.2000.1972

Popescu, 2003, Similarity and ergodic theory of positive linear maps, J. Reine Angew. Math., 561, 87

Popescu, 2003, Multivariable Nehari problem and interpolation, J. Funct. Anal., 200, 536, 10.1016/S0022-1236(03)00078-8

Popescu, 2006, Entropy and multivariable interpolation, Mem. Amer. Math. Soc., 184

Popescu, 2006, Operator theory on noncommutative varieties, Indiana Univ. Math. J., 55, 389, 10.1512/iumj.2006.55.2771

Popescu, 2006, Free holomorphic functions on the unit ball of B(H)n, J. Funct. Anal., 241, 268, 10.1016/j.jfa.2006.07.004

Popescu, 2006, Commutator lifting inequalities and interpolation, Pacific J. Math., 225, 155, 10.2140/pjm.2006.225.155

G. Popescu, Noncommutative transforms and free pluriharmonic functions, preprint, 2007

G. Popescu, Unitary invariants in multivariable operator theory, Mem. Amer. Math. Soc., in press

G. Popescu, Free holomorphic functions and interpolation, Math. Ann., in press

Riesz, 1911, Sur certains systèmes singuliers d'équations intégrales, Ann. Sci. École Norm. Sup. (Paris), 28, 33, 10.24033/asens.633

Sarason, 1967, Generalized interpolation in H∞, Trans. Amer. Math. Soc., 127, 179

Schur, 1918, Über Potenzreihen die im innern des Einheitshreises beschränkt sind, J. Reine Angew. Math., 148, 122, 10.1515/crll.1918.148.122

Sz.-Nagy, 1968, Dilation des commutants d'opérateurs, C. R. Acad. Sci. Paris Sér. A, 266, 493

Sz.-Nagy, 1970

Treil, 1994, A fixed point approach to Nehari's problem and its applications, vol. 71, 165

von Neumann, 1951, Eine Spectraltheorie für allgemeine Operatoren eines unit ären Raumes, Math. Nachr., 4, 258, 10.1002/mana.3210040124