"We construct a Lipschitz function f on X = R-2 such that, for each 0 not equal nu is an element of X, the function f is C-infinity smooth on a.e. line parallel to v and f is Gateaux non-differentiable at all points of X except a first category set. Consequently, the same holds if X (with dim X > 1) is an arbitrary Banach space and %22a.e.%22 has any usual %22measure sense%22. This example gives an answer to a natural question concerning the author's recent study of linearly essentially smooth functions (which generalize essentially smooth functions of Borwein and Moors)."@en . . "1"^^ . "[256F2BC0FCDC]" . "We construct a Lipschitz function f on X = R-2 such that, for each 0 not equal nu is an element of X, the function f is C-infinity smooth on a.e. line parallel to v and f is Gateaux non-differentiable at all points of X except a first category set. Consequently, the same holds if X (with dim X > 1) is an arbitrary Banach space and %22a.e.%22 has any usual %22measure sense%22. This example gives an answer to a natural question concerning the author's recent study of linearly essentially smooth functions (which generalize essentially smooth functions of Borwein and Moors)." . . "P(GAP201/12/0436)" . "PL - Polsk\u00E1 republika" . "1"^^ . . . . "10.4064/cm131-1-3" . . "11320" . . "A LIPSCHITZ FUNCTION WHICH IS C-infinity ON AE LINE NEED NOT BE GENERICALLY DIFFERENTIABLE" . "RIV/00216208:11320/13:10189660" . . . "000324842500003" . "Zaj\u00ED\u010Dek, Lud\u011Bk" . . . . "Colloquium Mathematicum" . "1" . "131" . . . "http://dx.doi.org/10.4064/cm131-1-3" . . . "RIV/00216208:11320/13:10189660!RIV14-GA0-11320___" . "A LIPSCHITZ FUNCTION WHICH IS C-infinity ON AE LINE NEED NOT BE GENERICALLY DIFFERENTIABLE"@en . "A LIPSCHITZ FUNCTION WHICH IS C-infinity ON AE LINE NEED NOT BE GENERICALLY DIFFERENTIABLE"@en . . "58690" . "11"^^ . "functions C-infinity on a.e. line.; Lipschitz function; essentially smooth functions; Gateaux differentiability"@en . "0010-1354" . "A LIPSCHITZ FUNCTION WHICH IS C-infinity ON AE LINE NEED NOT BE GENERICALLY DIFFERENTIABLE" .