- Title
- A weak Hadamard smooth renorming of L₁(Ω,µ)
- Creator
- Borwein, Jonathan M.; Fitzpatrick, Simon
- Relation
- Canadian Mathematical Bulletin Vol. 36, Issue 4, p. 407-413
- Publisher Link
- http://dx.doi.org/10.4153/CMB-1993-055-5
- Publisher
- University of Toronto Press
- Resource Type
- journal article
- Date
- 1993
- Description
- 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.
- Subject
- Asplund space; Mackey convergence; weak Hadamard derivatives; renorms; Dunford-Pettis property; locally Mackey rotund; bornological derivatives
- Identifier
- http://hdl.handle.net/1959.13/940950
- Identifier
- uon:13151
- Identifier
- ISSN:0008-4395
- Language
- eng
- Reviewed
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