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L_{p}(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 L Uniformly non-l 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 L 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 c 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 l 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
c Some more examples of subset of c Weak compactness is equivalent to the fixed point property in c
Complex strict convexity of absolute norms on C New fixed point free nonexpansive maps on weakly compact, convex subsets of L
Coordinatewise star-shaped sets in c 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 l
Failure of FPP inside an asymptotically isometric-free copy of c 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 |