Raphaël Clouâtre

Profile

Select Publications

Name: Raphaël Clouâtre

Position Title: Associate Professor

Office Phone Number: (204) 474-8734

Email: Raphael.Clouatre@umanitoba.ca

Website: http://home.cc.umanitoba.ca/~clouatrr/

Research and Teaching Interests

Operator algebras and multivariate operator theory

Education

B.Sc. Université de Montréal (2006)
M.Sc. Université de Montréal (2008)
Ph.D. Indiana University (2013)

Clouâtre, Raphaël; Timko, Edward J. Gelfand transforms and boundary representations of complete Nevanlinna-Pick quotients. Trans. Amer. Math. Soc. 374 (2021), no. 3, 2107–2147.
Clouâtre, Raphaël; Timko, Edward J. Row contractions annihilated by interpolating vanishing ideals. Int. Math. Res. Not. IMRN 2020, no. 20, 6597–6665.
Clouâtre, Raphaël; Hartz, Michael; Schillo, Dominik. A Beurling-Lax-Halmos theorem for spaces with a complete Nevanlinna-Pick factor. Proc. Amer. Math. Soc. 148 (2020), no. 2, 731–740.
Clouâtre, Raphaël; Ramsey, Christopher. A completely bounded noncommutative Choquet boundary for operator spaces. Int. Math. Res. Not. IMRN 2019, no. 22, 6819–6886.
Clouâtre, Raphaël; Ramsey, Christopher. Residually finite-dimensional operator algebras. J. Funct. Anal. 277 (2019), no. 8, 2572–2616.
Clouâtre, Raphaël; Timko, Edward J. Cyclic row contractions and rigidity of invariant subspaces. J. Math. Anal. Appl. 479 (2019), no. 2, 1906–1938.
Clouâtre, Raphaël; Marcoux, Laurent W. Residual finite dimensionality and representations of amenable operator algebras. J. Math. Anal. Appl. 472 (2019), no. 2, 1346–1368.
Clouâtre, Raphaël; Mbacke, Diarra. Joint similarity for commuting families of power bounded matrices. Linear Algebra Appl. 560 (2019), 1–16.
Clouâtre, Raphaël; Marcoux, Laurent W. Compact ideals and rigidity of representations for amenable operator algebras. Studia Math. 244 (2019), no. 1, 25–41.
Clouâtre, Raphaël. Non-commutative peaking phenomena and a local version of the hyperrigidity conjecture. Proc. Lond. Math. Soc. (3) 117 (2018), no. 2, 221–245.
Clouâtre, Raphaël. Unperforated pairs of operator spaces and hyperrigidity of operator systems. Canad. J. Math. 70 (2018), no. 6, 1236–1260.
Clouâtre, Raphaël; Hartz, Michael. Multiplier algebras of complete Nevanlinna-Pick spaces: dilations, boundary representations and hyperrigidity. J. Funct. Anal. 274 (2018), no. 6, 1690–1738.
Clouâtre, Raphaël and Davidson, Kenneth R. (2018). Ideals in a multiplier algebra on the ball. Trans. Amer. Math. Soc. 370 (3), 1509–1527.
Clouâtre, Raphaël and Hartz, Michael (2018). Multiplier algebras of complete Nevanlinna-Pick spaces: dilations, boundary representations and hyperrigidity. J. Funct. Anal. 274 (6), 1690–1738.
Clouâtre, Raphaël and Davidson, Kenneth R. (2016). Absolute continuity for commuting row contractions. J. Funct. Anal. 271 (3), 620–641.
Clouâtre, Raphaël and Davidson, Kenneth R. (2016). Duality, convexity and peak interpolation in the Drury-Arveson space. Adv. Math. 295, 90–149.
Clouâtre, Raphaël and Davidson, Kenneth R. (2016). The unit ball of the predual of H∞(Bd) has no extreme points. Proc. Amer. Math. Soc. 144 (4), 1575–1580.
Clouâtre, Raphaël (2015). Completely bounded isomorphisms of operator algebras and similarity to complete isometries. Indiana Univ. Math. J. 64 (3), 825–846.
Clouâtre, Raphaël (2015). Unitary equivalence and similarity to Jordan models for weak contractions of class C0. Canad. J. Math. 67 (1), 132–151.
Clouâtre, Raphaël (2014). On the unilateral shift as a Hilbert module over the disc algebra. Complex Anal. Oper. Theory 8 (1), 283–309.
Clouâtre, Raphaël (2014). Quasiaffine orbits of invariant subspaces for uniform Jordan operators. J. Funct. Anal. 266 (7), 4101–4114.
Clouâtre, Raphaël (2014). Similarity results for operators of class C0 and the algebra H∞(T). Oper. Matrices 8 (2), 425–447.
Clouâtre, Raphaël (2014). Spectral and homological properties of Hilbert modules over the disc algebra. Studia Math. 222 (3), 263–282.
Clouatre, Raphael (2013). Some similarity results for contractions of class C0. ProQuest LLC, Ann Arbor, MI.
Clouâtre, Raphaël (2013). Quasisimilarity of invariant subspaces for C0 operators with multiplicity two. J. Operator Theory 70 (2), 495–511.
Clouâtre, Raphaël (2011). Similarity results for operators of class C0. Integral Equations Operator Theory 71 (4), 557–573.
Clouâtre, Raphaël (2011). Universal power series in CN. Canad. Math. Bull. 54 (2), 230–236.
Clouâtre, Raphaël (2011). Universal series on a Riemann surface. Canad. J. Math. 63(5), 1025–1037.
Gauthier, Paul M. and Clouâtre, Raphaël (2008). Approximation by translates of Taylor polynomials of the Riemann zeta function. Comput. Methods Funct. Theory 8(1-2), 15–19.