McCullough, Scott A.

• 2544753
  Dym, Harry(IL-WEIZ); Greene, J. M.(1-UCSD); Helton, J. W.(1-UCSD); McCullough, S. A.(1-FL)
  Classification of all noncommutative polynomials whose Hessian has negative signature one and a noncommutative second fundamental form. (English summary)
  J. Anal. Math. 108 (2009), 19--59.
  47Axx (16S36 16S38)
  
• 2500463
  de Oliveira, Mauricio C.(1-UCSD-A); Helton, J. William(1-UCSD); McCullough, Scott A.(1-FL); Putinar, Mihai(1-UCSB)
  Engineering systems and free semi-algebraic geometry. (English summary) Emerging applications of algebraic geometry, 17--61,
  IMA Vol. Math. Appl., 149, Springer, New York, 2009.
  93B25 (14P10)
  
• 2518108
  Helton, J. William(1-UCSD); McCullough, Scott(1-FL); Putinar, Mihai(1-UCSB); Vinnikov, Victor(IL-BGUN)
  Convex matrix inequalities versus linear matrix inequalities. (English summary)
  IEEE Trans. Automat. Control 54 (2009), no. 5, 952--964.
  90C25 (15A39 90C33)
  
• 2523335
  Helton, J. William(1-UCSD); Klep, Igor(SV-LJUBMP); McCullough, Scott(1-FL); Slinglend, Nick(1-UCSD)
  Noncommutative ball maps. (English summary)
  J. Funct. Anal. 257 (2009), no. 1, 47--87.
  47Axx (46Lxx 47Bxx 58Bxx)
  
• 2483003
  Hay, Damon M.(1-NFL-MS); Helton, J. William(1-UCSD); Lim, Adrian(1-VDB); McCullough, Scott(1-FL)
  Non-commutative partial matrix convexity. (English summary)
  Indiana Univ. Math. J. 57 (2008), no. 6, 2815--2842.
  47Axx (15Axx 16S36)
  
• 2389623
  Dritschel, Michael A.(4-NWCT-SMS); McCullough, Scott(1-FL)
  Test functions, kernels, realizations and interpolation. (English summary) Operator theory, structured matrices, and dilations, 153--179,
  Theta Ser. Adv. Math., 7, Theta, Bucharest, 2007.
  47A57 (46E22)
  
• 2358013
  McCullough, Scott(1-FL); Sultanic, Saida(1-FL)
  Ersatz commutant lifting with test functions. (English summary)
  Complex Anal. Oper. Theory 1 (2007), no. 4, 581--620.
  46E22
  
• 2346553
  Dym, Harry(IL-WEIZ); Helton, J. William(1-UCSD); McCullough, Scott(1-FL)
  The Hessian of a noncommutative polynomial has numerous negative eigenvalues. (English summary)
  J. Anal. Math. 102 (2007), 29--76.
  47A13
  
• 2337640
  Dritschel, Michael A.(4-NWCT-SMS); Marcantognini, Stefania(YV-IVIC); McCullough, Scott(1-FL)
  Interpolation in semigroupoid algebras. (English summary)
  J. Reine Angew. Math. 606 (2007), 1--40.
  47Axx (46E22 46Lxx 47Lxx)
  
• 2333470
  Dym, Harry(IL-WEIZ); Helton, William(1-UCSD); McCullough, Scott(1-FL)
  Irreducible noncommutative defining polynomials for convex sets have degree four or less. (English summary)
  Indiana Univ. Math. J. 56 (2007), no. 3, 1189--1231.
  16Sxx (47Axx)
  
• 2270289
  Helton, J. William(1-UCSD); McCullough, Scott(1-FL); Putinar, Mihai(1-UCSB)
  Strong majorization in a free $*$-algebra. (English summary)
  Math. Z. 255 (2007), no. 3, 579--596.
  46Axx (06F25 47Axx 47Bxx)
  
• 2259894
  Helton, J. William(1-UCSD); McCullough, Scott A.(1-FL); Vinnikov, Victor(IL-BGUN)
  Noncommutative convexity arises from linear matrix inequalities. (English summary)
  J. Funct. Anal. 240 (2006), no. 1, 105--191.
  15A39 (93B25)
  
• 2223591
  Helton, J. William(1-UCSD); McCullough, Scott(1-FL); Putinar, Mihai(1-UCSB)
  Matrix representations for positive noncommutative polynomials. (English. English summary)
  Positivity 10 (2006), no. 1, 145--163.
  16S36
• 2224594
  McCullough, Scott(1-FL); Putinar, Mihai(1-UCSB)
  Noncommutative sums of squares. (English. English summary)
  Pacific J. Math. 218 (2005), no. 1, 167--171.
  47Axx (46Lxx)
• 2179609
  Helton, J. William(1-UCSD); McCullough, Scott A.(1-FL); Putinar, Mihai(1-UCSB)
  Non-negative hereditary polynomials in a free $*$-algebra. (English. English summary)
  Math. Z. 250 (2005), no. 3, 515--522.
  16S10
• 2163865
  Dritschel, Michael A.(4-NWCT-SMS); McCullough, Scott(1-FL)
  The failure of rational dilation on a triply connected domain.
  J. Amer. Math. Soc. 18 (2005), no. 4, 873--918 (electronic).
  47A20 (30C40 30E05 30H05 46E22 47A25 47A48)
• 2132691
  Dritschel, Michael A.(4-NWCT-SMS); McCullough, Scott A.(1-FL)
  Boundary representations for families of representations of operator algebras and spaces. (English. English summary)
  J. Operator Theory 53 (2005), no. 1, 159--167.
  47Lxx (46Lxx 47Axx)
• 2081134
  Helton, J. William(1-UCSD); McCullough, Scott(1-FL)
  Convex noncommutative polynomials have degree two or less. (English. English summary)
  SIAM J. Matrix Anal. Appl. 25 (2004), no. 4, 1124--1139 (electronic).
  47A63 (47A56)
• 2055751
  Helton, J. William(1-UCSD); McCullough, Scott A.(1-FL)
  A positivstellensatz for non-commutative polynomials. (English. English summary)
  Trans. Amer. Math. Soc. 356 (2004), no. 9, 3721--3737 (electronic).
  47A13 (14Pxx)
• 2034923
  Helton, J. William(1-UCSD); McCullough, Scott A.(1-FL); Putinar, Mihai(1-UCSB)
  A non-commutative Positivstellensatz on isometries. (English. English summary)
  J. Reine Angew. Math. 568 (2004), 71--80.
  47A13 (47A57)
• 2019960
  McCullough, Scott(1-FL)
  Extremal properties of outer polynomial factors. (English. English summary)
  Proc. Amer. Math. Soc. 132 (2004), no. 3, 815--825 (electronic).
  47A68 (47A57)
• 1909298
  McCullough, Scott(1-FL); Paulsen, Vern(1-HST)
  $C\sp *$-envelopes and interpolation theory. (English. English summary)
  Indiana Univ. Math. J. 51 (2002), no. 2, 479--505.
  46J15 (46L05 47A57 47L99)
• 1899491
  McCullough, Scott(1-FL); Richter, Stefan(1-TN)
  Bergman-type reproducing kernels, contractive divisors, and dilations. (English. English summary)
  J. Funct. Anal. 190 (2002), no. 2, 447--480.
  47B32 (30C40 46E22 47A15)
• 1818066
  McCullough, Scott(1-FL)
  Isometric representations of some quotients of $H\sp \infty$ of an annulus. (English. English summary)
  Integral Equations Operator Theory 39 (2001), no. 3, 335--362.
  46E25 (47B38)
• 1815959
  McCullough, Scott(1-FL)
  Factorization of operator-valued polynomials in several non-commuting variables. (English. English summary)
  Linear Algebra Appl. 326 (2001), no. 1-3, 193--203.
  47A68 (47A13 47A20 47A56)
• 1800795
  McCullough, Scott(1-FL); Trent, Tavan T.(1-AL)
  Invariant subspaces and Nevanlinna-Pick kernels. (English. English summary)
  J. Funct. Anal. 178 (2000), no. 1, 226--249.
  47A07 (42A82 46E22 47B32)
• 1741491
  Dritschel, Michael A.(1-CINC); McCullough, Scott(1-FL)
  Model theory for hyponormal contractions. (English. English summary)
  Integral Equations Operator Theory 36 (2000), no. 2, 182--192.
  47A20 (47B20)
• 1707931
  McCullough, Scott(1-FL)
  Commutant lifting on a two holed domain. (English. English summary)
  Integral Equations Operator Theory 35 (1999), no. 1, 65--84.
  47A20 (46E20 47B32)
• 1681577
  Dritschel, Michael A.(1-PURD); McCullough, Scott(1-FL); Woerdeman, Hugo J.(1-CWM)
  Model theory for $\rho$-contractions, $\rho\le2$. (English. English summary)
  J. Operator Theory 41 (1999), no. 2, 321--350.
  47A45 (47A12 47A20 47A68)
• 1657163
  McCullough, Scott A.(1-FL); Rodman, Leiba(1-CWM)
  Normal generalized selfadjoint operators in Krein spaces. (English. English summary)
  Linear Algebra Appl. 283 (1998), no. 1-3, 239--245.
  47B50
• 1473659
  Clancy, Robert S.(1-FL); McCullough, Scott(1-FL)
  Projective modules and Hilbert spaces with a Nevanlinna-Pick kernel. (English. English summary)
  Proc. Amer. Math. Soc. 126 (1998), no. 11, 3299--3305.
  47A20 (46E20 46H25 46J15 47A57 47B37)
• 1447975
  McCullough, Scott A.(1-FL); Rodman, Leiba(1-CWM)
  Hereditary classes of operators and matrices.
  Amer. Math. Monthly 104 (1997), no. 5, 415--430.
  47B20 (15A21 47A20)
• 1410590
  McCullough, Scott A.(1-FL); Rodman, Leiba(1-CWM)
  Two-selfadjoint operators in Kre\u\i n spaces. (English. English summary)
  Integral Equations Operator Theory 26 (1996), no. 2, 202--209.
  47B50
• 1386331
  McCullough, Scott(1-FL)
  The trisecant identity and operator theory. (English. English summary)
  Integral Equations Operator Theory 25 (1996), no. 1, 104--127.
  46E22 (30C40 30D55 47B38)
• 1367626
  McCullough, Scott(1-FL)
  Nevanlinna-Pick type interpolation in a dual algebra. (English. English summary)
  J. Funct. Anal. 135 (1996), no. 1, 93--131.
  47A57 (30D50 30E05 46E22 46J15 47D27)
• 1352602
  McCullough, Scott(1-FL)
  Matrix functions of positive real part on an annulus. (English. English summary)
  Houston J. Math. 21 (1995), no. 3, 489--506.
  47A20 (30E10)
• 1287987
  Mair, B. A.(1-FL); McCullough, Scott(1-FL)
  Invariance of extreme harmonic functions on an annulus; applications to theta functions.
  Houston J. Math. 20 (1994), no. 3, 453--473.
  33D10 (31A05)
• 1284929
  McCullough, Scott(1-FL)
  The local de Branges-Rovnyak construction and complete Nevanlinna-Pick kernels.
  Algebraic methods in operator theory, 15--24,
  Birkhäuser Boston, Boston, MA, 1994.
  47A57 (30C40 30E05 46E22)
• 1189748
  McCullough, Scott(1-FL); Shen, Li-Chien(1-FL)
  On the Szegö kernel of an annulus. (English. English summary)
  Proc. Amer. Math. Soc. 121 (1994), no. 4, 1111--1121.
  30C40 (46E22)
• 1226443
  Mair, B. A.(1-FL); McCullough, Scott(1-FL); Rao, Murali(1-FL)
  Wavelets generated by three-term two-scale relations. (English. English summary)
  Ulam Quart. 2 (1993), no. 1, 24ff., approx. 8 pp. (electronic only).
  42C15 (41A15)
• 1209391
  McCullough, Scott(1-FL)
  Minimal separators of $2$-chordal graphs. (English. English summary)
  Linear Algebra Appl. 184 (1993), 187--199.
  05C75
• 1134687
  McCullough, Scott(1-FL)
  Carathéodory interpolation kernels.
  Integral Equations Operator Theory 15 (1992), no. 1, 43--71.
  47A57
• 1102858
  McCullough, Scott(1-FL); Paulsen, Vern(1-HST)
  $k$-hyponormality of weighted shifts.
  Proc. Amer. Math. Soc. 116 (1992), no. 1, 165--169.
  47B20 (47B37)
• 1043729
  McCullough, Scott(1-IN)
  Sub-Brownian operators.
  J. Operator Theory 22 (1989), no. 2, 291--305.
  47B20 (47A20)
• 972236
  McCullough, Scott(1-IN); Paulsen, Vern(1-HST)
  A note on joint hyponormality.
  Proc. Amer. Math. Soc. 107 (1989), no. 1, 187--195.
  47B20
• 1017669
  McCullough, Scott(1-IN)
  $2$-chordal graphs.
  Contributions to operator theory and its applications (Mesa, AZ, 1987), 143--192,
  Oper. Theory Adv. Appl., 35,
  Birkhäuser, Basel, 1988.
  05C50 (15A99)
• 960140
  Agler, Jim(1-UCSD); Helton, J. William(1-UCSD); McCullough, Scott(1-UCSD); Rodman, Leiba(IL-TLAV)
  Positive semidefinite matrices with a given sparsity pattern.
  Proceedings of the Victoria Conference on Combinatorial Matrix Analysis (Victoria, BC, 1987).
  Linear Algebra Appl. 107 (1988), 101--149.
  15A48
• 792284
  McCullough, Scott(1-UCSD); Wulbert, Daniel(1-UCSD)
  The topological spaces that support Haar systems.
  Proc. Amer. Math. Soc. 94 (1985), no. 4, 687--692.
  41A52 (41A45 41A65)