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Dr Richard J. Smith

School of Mathematics and Statistics
University College Dublin, Belfield
Dublin 4, Ireland
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Phone +353 1 7162570

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Publications

Whenever available there are links to published articles or arXiv versions of some papers.

R. J. Smith, Pseudotrees, adequate sets and fragmentability, preprint.

R. J. Smith, Strict convexity, trees and topological dynamics, preprint.

R. J. Smith, A topological characterization of dual strict convexity in Asplund spaces, submitted (arXiv).

R. J. Smith, Topology, isomorphic smoothness and polyhedrality in Banach spaces, Topology Appl. (266), 2019 (arXiv).

T. A. Abrahamsen, V. P. Fonf, R. J. Smith and S. Troyanski, Polyhedrality and decomposition, Quart. J. Math. (70) 409-427, 2019 (arXiv).

R. J. Smith and S. Troyanski, Approximation of norms in Banach spaces, J. Funct. Anal. (276) 3226-3260, 2019 (arXiv).

P. Bankston, A. McCluskey and R. J. Smith, Semicontinuity of betweenness functions, Topology Appl. (246) 22-47, 2018.

V. Bible and R. J. Smith, Smooth and polyhedral approximation in Banach spaces, J. Math. Anal. Appl. (435) 1262-1272, 2016 (arXiv).

T. Kania and R. J. Smith, Chains of functions in $C(K)$-spaces, J. Aust. Math. Soc. (99) 350-363, 2015 (arXiv).

V. P. Fonf, R. J. Smith and S. Troyanski, Boundaries and polyhedral Banach spaces, Proc. Amer. Math. Soc. (143) 4845-4849, 2015 (arXiv).

E. Pernecká and R. J. Smith, The metric approximation property and Lipschitz-free spaces over subsets of $\mathbb{R}^N$, J. Approx. Theory (199) 29-44, 2015 (arXiv).

V. P. Fonf, A. J. Pallares, R. J. Smith and S. Troyanski, Polyhedrality in pieces, J. Funct. Anal. (266) 247-264, 2014 (arXiv).

P. Hájek and R. J. Smith, Some duality relations in the theory of tensor products, Expos. Math. (30) 239-249, 2012.

V. P. Fonf, R. J. Smith and S. Troyanski, A note on fragmentability and weak-$G_\delta$ sets, Quart. J. Math. (63) 375-380, 2012 (arXiv).

R. J. Smith, Strictly convex norms, $G_\delta$-diagonals and non-Gruenhage spaces, Proc. Amer. Math. Soc. (140) 3117-3125, 2012 (arXiv).

J. Orihuela, R. J. Smith and S. Troyanski, Strictly convex norms and topology, Proc. London Math. Soc (104) 197-222, 2012 (arXiv).

R. J. Smith and S. Troyanski, Renormings of $C(K)$ spaces, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. (104), 375-412, 2010.

P. Hájek and R. J. Smith, Operator machines on directed graphs, Integral Equations Operator Theory (67) 15-31, 2010 (arXiv).

R. J. Smith and S. Troyanski, Unconditional bases and strictly convex dual renormings, Bull. London Math. Soc. (41) 831-840, 2009 (arXiv).

R. J. Smith, Gruenhage compacta and strictly convex dual norms, J. Math. Anal. Appl. (350) 745-757, 2009 (arXiv).

V. P. Fonf, A. J. Pallares, R. J. Smith and S. Troyanski, Polyhedral norms on non-separable Banach spaces, J. Funct. Anal. (255) 449-470, 2008.

R. J. Smith, Trees, linear orders and Gâteaux smooth norms, J. London Math. Soc. (76) 633-646, 2007 (arXiv).

R. J. Smith, Trees, Gâteaux smooth norms and a problem of Haydon, Bull. London Math. Soc. (39) 112-120, 2007.

R. J. Smith, On trees and dual rotund norms, J. Funct. Anal. (231) 177-194, 2006.

R. J. Smith, The Tale of a PhD Mathematician, Mathematics Today (41) 76-77, June 2005.

R. J. Smith, Bounded linear Talagrand operators on ordinal spaces, Quart. J. Math. (56) 383-395, 2005.