Is the space of Holder functions predual of L^1?
نویسندگان
1 Kharazmi University, Tehran, Iran
doi
10.22091/maa.2024.10469.1015چکیده
Let (X,d) be a compact pointed metric space. In this paper, we investigate the condition on the underlying metric space (X,d) which implies that the little Lipschitz space on (X,d) is predual of L^1(\mu). Then, we conclude that the space of Holder functions on every compact pointed space, and for each 0<alpha<1 is not predual of L^1(\mu).