Limits and colimits of convexity spaces
Robert J. MacG. Dawson (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Robert J. MacG. Dawson (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Reinhard Börger, Ralf Kemper (1994)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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K. Goebel (1970)
Compositio Mathematica
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Soltanov, Kamal N. (2007)
Fixed Point Theory and Applications [electronic only]
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Sioen, M., Verwulgen, S. (2007)
Theory and Applications of Categories [electronic only]
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Jean-Paul Penot (1979)
Mémoires de la Société Mathématique de France
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P. Holický, O. F. K. Kalenda, L. Veselý, L. Zajíček (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and only if each everywhere defined quotient of two continuous convex functions is a d.c. function. Our construction also gives a stronger version of Klee's result concerning renormings of nonreflexive spaces and non-norm-attaining functionals. ...
Cobzaş, Stefan (2005)
Abstract and Applied Analysis
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W. L. Bynum (1972)
Compositio Mathematica
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