Article

Open mapping theorem for spaces of weakly additive homogeneous functionals

A. A. ZaitovInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan

Mathematical Notesjournal2010en

ABI

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.

Topics

Advanced Topology and Set Theory Advanced Banach Space Theory Fuzzy and Soft Set Theory

Identifiers

DOI: 10.1134/s0001434610110052

Citations and references

Cited by 5 2 references

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