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Extension of functions defined on products of pseudocompact spaces and continuity of the inverse in pseudocompact groups

✍ Scribed by E.A. Reznichenko


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
842 KB
Volume
59
Category
Article
ISSN
0166-8641

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Let E be a separable Banach space with separable dual. We show that the operation of subdi erentiation and the inverse operation are Borel from the convex functions on E into the monotone operators on E (subspace of the closed sets of E Γ— E \* ) for the E ros-Borel structures. We also prove that th