The minimal support for a continuous functional on a function space
Author: Kazuhiko Morishita
Journal: Proc. Amer. Math. Soc. 114 (1992), 585-587
MSC: Primary 54C05; Secondary 54C30, 54C35
MathSciNet review: 1070528
Abstract: Let be the function space with the pointwise convergent topology over a Tychonoff space and a continuous real-valued function on . A closed subset of is called a support for if holds for any pair of elements of such that . It is proven that the minimal support for any real-valued continuous function on the space exists.
Keywords: Function space, functional, pointwise convergent topology, support
Article copyright: © Copyright 1992 American Mathematical Society