. "1732-8985" . "P(GA201/06/0018), P(GA201/06/0198), Z(MSM0021620839)" . . . . . . "Quotients of continuous convex functions on nonreflexive Banach spaces"@en . "Holick\u00FD, Petr" . "Pod\u00EDly spojit\u00FDch konvexn\u00EDch funkc\u00ED na nereflexivn\u00EDch Banachov\u00FDch prostorech"@cs . . "Bulletin of the Polish Academy of Sciences - Mathematics" . . "PL - Polsk\u00E1 republika" . "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 gives also a stronger version of Klee's result concerning renormings of nonreflexive spaces and non-norm-attaining functionals."@en . . "3" . "211;217" . . "11320" . "Zaj\u00ED\u010Dek, Lud\u011Bk" . . "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 gives also a stronger version of Klee's result concerning renormings of nonreflexive spaces and non-norm-attaining functionals." . . "RIV/00216208:11320/07:00004395" . "Na ka\u017Ed\u00E9m nereflexivn\u00EDm Banachov\u011B prostoru existuje kladn\u00E1 spojit\u00E1 konvexn\u00ED funkce f, pro kterou 1/f nen\u00ED rozd\u00EDlem dvou spojit\u00FDch konvexn\u00EDch funkc\u00ED."@cs . "RIV/00216208:11320/07:00004395!RIV08-MSM-11320___" . . "446223" . "[02C4396E44B0]" . . "3"^^ . "Quotients of continuous convex functions on nonreflexive Banach spaces" . "Kalenda, Ond\u0159ej" . . "7"^^ . . . "Quotients of continuous convex functions on nonreflexive Banach spaces"@en . . "4"^^ . . "Pod\u00EDly spojit\u00FDch konvexn\u00EDch funkc\u00ED na nereflexivn\u00EDch Banachov\u00FDch prostorech"@cs . . . "55" . "Quotients of continuous convex functions on nonreflexive Banach spaces" . . . . "Quotients; continuous; convex; functions; nonreflexive; Banach; spaces"@en .