Open mapping theorem for spaces of weakly additive homogeneous functionals |
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| Authors: | A A Zaitov |
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| Institution: | 1. Institute of Mathematics and Information Technologies, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
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| 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. |
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