Statement:
On every non-trivial Banach space there is a non-trivial linear functional (bounded or unbounded).
Howard_Rubin_Number: 417
Parameter(s): This form does not depend on parameters
This form's transferability is: Unknown
This form's negation transferability is: Negation Transferable
Article Citations:
Luxemburg-Vath-2001: The existence of non-trivial bounded functionals implies the Hahn-Banach extension theorem
Book references
Note connections: