"2"^^ . . "1"^^ . . "RIV/00216208:11320/13:10189658!RIV14-GA0-11320___" . "Vesel\u00FD, Libor" . . . "000315836900002" . "1" . . "The main known results on differentiability of continuous convex operators f from a Banach space X to an ordered Banach space Y are due to J.M. Borwein and N.K. Kirov. Our aim is to prove some %22supergeneric%22 results, i.e., to show that, sometimes, the set of Gateaux or Frechet nondifferentiability points is not only a first-category set, but also smaller in a stronger sense. For example, we prove that if Y is countably Daniell and the space L(X, Y) of bounded linear operators is separable, then each continuous convex operator f:X -> Y is Frechet differentiable except for a Gamma-null angle-small set. Some applications of such supergeneric results are shown." . "10.1016/j.jmaa.2012.12.073" . "http://dx.doi.org/10.1016/j.jmaa.2012.12.073" . . "[38E3C75D4CCD]" . "93689" . "11320" . . . "The main known results on differentiability of continuous convex operators f from a Banach space X to an ordered Banach space Y are due to J.M. Borwein and N.K. Kirov. Our aim is to prove some %22supergeneric%22 results, i.e., to show that, sometimes, the set of Gateaux or Frechet nondifferentiability points is not only a first-category set, but also smaller in a stronger sense. For example, we prove that if Y is countably Daniell and the space L(X, Y) of bounded linear operators is separable, then each continuous convex operator f:X -> Y is Frechet differentiable except for a Gamma-null angle-small set. Some applications of such supergeneric results are shown."@en . . "11"^^ . . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "On differentiability of convex operators" . "On differentiability of convex operators" . . "Gateaux differentiability; Frechet differentiability; Convex operators; Banach lattices; Ordered normed spaces"@en . "Journal of Mathematical Analysis and Applications" . . "Zaj\u00ED\u010Dek, Lud\u011Bk" . "On differentiability of convex operators"@en . "RIV/00216208:11320/13:10189658" . . "On differentiability of convex operators"@en . "402" . "P(GA201/09/0067), P(GAP201/12/0436)" . . "0022-247X" . . . . .