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On the monotonicity and subadditivity of norming perturbations for Banach function spaces

✍ Scribed by J Quinn; R Reichard


Publisher
Elsevier Science
Year
1972
Weight
563 KB
Volume
75
Category
Article
ISSN
1385-7258

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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