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Theorems of Namioka and R. E. Johnson type for upper semicontinuous and compact valued set-valued mappings
Proceedings of the American Mathematical Society
Some recent results of Namioka on strong continuity of weakly continuous mappings (in a dense GB set} and results of R. E. Johnson on norm separability of the range of such mappings (under conditions on the domain space) are shown to have analogues for upper semicontinuous and compact valued set-valued mappings. Some substantial improvements of known automatic continuity results for such mappings are obtained.doi:10.1090/s0002-9939-1982-0674099-0 fatcat:bjmpr4mx2bfurfiyk2fs6jhgsq