Banach spaces that admit support sets.

Autor: J. M. Borwein, J. D. Vanderwerff
Předmět:
Zdroj: Proceedings of the American Mathematical Society; Mar1996, Vol. 124 Issue 3, p751-755, 5p
Abstrakt: It is shown that the existence of a closed convex set all of whose points are properly supported in a Banach space is equivalent to the existence of a certain type of uncountable ordered one-sided biorthogonal system. Under the continuum hypothesis, we deduce that this notion is weaker than the existence of an uncountable biorthogonal system. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index