Is the space of Holder functions predual of L^1?

Document Type : Original Article

Author

Kharazmi University, Tehran, Iran

Abstract

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).

Keywords

Main Subjects


Weaver, N. (2018). Lipschitz Algebras (Second Edition). World Scientific, Singapore. 
Weaver, N. (2018). Lipschitz Algebras (Second Edition). World Scientific, Singapore. 
Weaver, N. (2018). Lipschitz Algebras (Second Edition). World Scientific, Singapore.