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A note on subdifferentials of pointwise suprema

✍ Scribed by Ioffe, A. D.

Book ID
113089860
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
444 KB
Volume
20
Category
Article
ISSN
1134-5764

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The aim of this note is to fill in a gap in our previous paper in this journal. Precisely, we give a new proof of the following theorem: let (0, A, +) be a \_-finite measure space with +(0)>0, 0<p<+ , and Y a separable subspace of a Banach space X. Then Y is proximinal in X iff L p (+, Y) is proximi