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A weak Hadamard smooth renorming of $ L^1$

Borwein, Jonathan M. and Fitzpatrick, Simon (1993) A weak Hadamard smooth renorming of $ L^1$. Canadian Math. Bulletin, 36 . pp. 407-413.

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Abstract

We show that L1(µ) has a weak Hadamard differentiable renorm (i.e. differentiable away from the origin uniformly on all weakly compact sets) if and only if µ is sigma finite. As a consequence several powerful recent differentiability theorems apply to subspaces of L1.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 14 Jan 2015 15:19
Last Modified: 14 Jan 2015 15:19
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1554

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