(Submitted – September 2026)

S.D., J.K. Kaasik and J. Perreau

AI assistance (initially with ChatGPT Go and later ChatGPT 5.4 Plus): 

After several interactions concerning the problem of constructing a strictly convex renorming on L_1[0,1], inspired by the recent construction of Cobollo and Hájek, ChatGPT suggested considering the norm introduced in this paper. As all the arguments were given in Dynamical Systems language, where the authors have no idea about, all the proofs were developed by the authors.