Open mapping theorem for spaces of weakly additive homogeneous functionals
A. A. ZaitovInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
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Annotatsiya
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.
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