Barry Turett
Department of Mathematics and Statistics
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Publications
Lp(m,X) (1 < p < Infinity) has the Radon-Nikod˝m property if X does by martingales (with J. J. Uhl, Jr.), Proceedings of the American Mathematical Society 61 (1976), 347-350. Available from AMS.
Rotundity of Orlicz spaces, Proceedings of the Koninklijke Nederlandse Akademie van Wetenschappen ( = Indagationes Mathematicae), Amsterdam, series A, 79 1976), 462-469. PDF
Basically scattered vector measures (with N. Kalton and J. J. Uhl, Jr.), Indiana University Mathematics Journal 28 (1979), 803-816. PDF
Rotundity in Lebesgue-Bochner function spaces (with M. Smith), Transactions of the American Mathematical Society 257 (1980), 105-118. Available from AMS
Fenchel-Orlicz spaces, Dissertationes Mathematicae (Rozprawy Mathematyczne), No. 181, Warsaw, 1980, 55 pages. PDF
Flat Orlicz spaces (with A. J. Pach and M. Smith), Proceedings of the American Mathematical Society 81 (1981), 528-530. Available from AMS
A dual view of a theorem of Baillon, Nonlinear Analysis and Applications, Lecture Notes on Pure and Applied Mathematics, Volume 80, Marcel Dekker (1982), 279-286. PDF
Some properties of the characteristic of convexity relating to fixed point theory (with D. Downing), Pacific Journal of Mathematics 104 (1983), 343-350. PDF
A reflexive LUR Banach space that lacks normal structure (with M. Smith), Canadian Mathematical Bulletin 28 (1985), 492-494. PDF
Isometries on Lp,1 (with N. Carothers), Transactions of the American Mathematical Society 297 (1986), 95-103. Available from AMS
Uniformly non-l1(n) Orlicz-Bochner spaces (with A. Kaminska), Bulletin of the Polish Academy of Sciences 35 (1987), 211-218. PDF
Some remarks on moduli of rotundity in Banach spaces (with A. Kaminska), Bulletin of the Polish Academy of Sciences 36 (1988), 219-223. PDF
Rotundity in Kˆthe spaces of vector-valued functions (with A. Kaminska), Canadian Journal of Mathematics 41 (1989), 659-675. PDF
Normal structure in Bochner Lp -spaces (with M. Smith), Pacific Journal of Mathematics 142 (1990), 347-356. PDF
Some examples concerning normal and uniform normal structure in Banach spaces (with M. Smith), Journal of the Australian Mathematical Society 48 (1990), Series A, 223-234. PDF
Type and cotype in Musielak-Orlicz spaces (with A. Kaminska), in Geometry of Banach Spaces, London Mathematical Society Lecture Note Series 158, Cambridge University Press (1991), 165-180. PDF
Reflexivity and the fixed-point property of nonexpansive maps (with P. N. Dowling and C. J. Lennard), Journal of Mathematical Analysis and Applications 200 (1995), 653-662. PDF
The optimality of James's distortion theorem (with P. N. Dowling, W. B. Johnson, and C. J. Lennard), Proceeding of the American Mathematical Society 125 (1997), 167-174.Available from AMS
Asymptotically perturbed norms of classical sequence spaces with applications to fixed point theory (with P. N. Dowling and C. J. Lennard), Proceedings of Workshop on Fixed Point Theory (Kazimierz Dolny, 1997). Ann. Univ. Mariae Curie-Sk\l odowska, Sect. A 51 (1997), no. 2, 67-98. PDF
Asymptotically isometric copies of c0 in Banach spaces (with P. N. Dowling and C. J. Lennard), Journal of Mathematical Analysis and Applications 219 (1998), 377-391. PDF
Geometry of spaces of polynomials (with R. A. Ryan), Journal of Mathematical Analysis and Applications 221 (1998), 698-711. PDF
Remarks on James's distortion theorems (with P. N. Dowling and N. Randrianantoanina), Bulletin of the Australian Mathematical Society 57 (1998), 49-54. PDF
Remarks on James's distortion theorems II (with P.N. Dowling and N. Randrianantoanina), Bulletin of the Australian Mathematical Society 59 (1999), 515-522. PDF
Some fixed point results in l1 and c0 (with P.N. Dowling and C.J. Lennard), Nonlinear Analysis 39 (2000), 929-936. PDF
Renormings of l1and c0 and fixed point properties (with P. N. Dowling and C. J. Lennard), in Handbook of Metric Fixed Point Theory, (W. A. Kirk and B. Sims, eds.), Kluwer Academic Publishers, 2001, pp. 269-297. PDF
The fixed point property for subsets of some classical Banach spaces (with P. N. Dowling and C. J. Lennard), Nonlinear Analysis 49 (2002), 141-145. PDF
Characterizations of weakly compact sets and new fixed point free maps in c0, (with P. N. Dowling and C. J. Lennard), Studia Mathematica, 154 (2003), 277-293. (A preliminary version of this article appeared in Ulmer Seminare, Volume 6, 2001, 123-134.) PDF
Some more examples of subset of c0 and L1[0,1] failing the fixed point property (with P.N. Dowling and C.J. Lennard), Contemporary Mathematics 328 (2003), 171 - 176.PDF
Weak compactness is equivalent to the fixed point property in c0 (with P. N. Dowling and C. J. Lennard), Proceedings of the American Mathematical Society 132 (2004), 1659 - 1666. PDF
Complex strict convexity of absolute norms on Cn and direct sums of Banach spaces (with P.N. Dowling), Journal of Mathematical Analysis and Applications 323 (2006), no. 2, 930 - 937. PDF
New fixed point free nonexpansive maps on weakly compact, convex subsets of L1[0,1], (with P.N. Dowling and C.J. Lennard), Studia Mathematica 180 (2007), no. 3, 271 - 284. PDF
Coordinatewise star-shaped sets in c0 (with P.N. Dowling), Journal of Mathematical Analysis and Applications 346 (2008), no. 1, 39 - 40. PDF
The fixed point property via dual space properties (with P. N. Dowling and B. Randrianantoanina), Journal of Functional Analysis 255 (2008), no. 3, 768 - 775. PDF
Direct sums of renormings of l1 and the fixed point property (with P. N. Dowling and Pei-Kee Lin), Nonlinear Analysis 73 (2010), no. 3, 591 - 599. PDF
Failure of FPP inside an asymptotically isometric-free copy of c0 (with P. N. Dowling and C. J. Lennard), Nonlinear Analysis 73 (2010), no. 5, 1175 - 1179.. PDF
A weak Grothendieck compactness property (with P. N. Dowling, D. Freeman, C. J. Lennard, E. Odell, and B. Randrianantoanina), Journal of Functional Analysis 263 (2012), no. 5, 1378 - 1381. PDF
A weak Grothendieck compactness property for Banach spaces with a symmetric basis (with P. N. Dowling, D. Freeman, C. J. Lennard, E. Odell, and B. Randrianantoanina), Positivity 18 (2014), no. 1, 147 - 159. PDF
Lindenstrauss-Phelps spaces and the optimality of a theorem of Fonf, (with P. N. Dowling), Journal of Nonlinear and Convex Analysis 17 (2016), no. 11, 2339-2342. (The authors wish to thank Professors Helga Fetter Nathansky, Fernando Nunez Medina, and Jeimer Villada Bedoya for pointing out that the proof of Theorem 3 is flawed. Please refer to their article in the Journal of Nonlinear and Convex Analysis, Vol. 20 (2019), no.1.) . PDF
Near-infinity concentrated norms and the fixed point property for nonexpansive maps on closed, bounded, convex sets (with F. E. Castillo-Santos, P. N. Dowling, H. Fetter, M. Japo}n, C. J. Lennard, and B. Sims), J. Funct. Anal. 275 (2018), no. 3, 559-576. PDF