Open mapping theorem for spaces of weakly additive homogeneous functionals
Author: Zaitov, A.
Source: Mathematical Notes, Volume 88, Numbers 5-6, December 2010 , pp. 655-660(6)
Abstract:We establish that if X and Y are metric compacta and f: X → Y is a continuous surjective mapping, then the openness of the mapping OH(f): OH(X) → OH(Y) of spaces of weakly additive homogeneous functionals is equivalent to the openness of f.
Document Type: Research article
Publication date: 2010-12-01