Remarks on symmetric smooth norms

P. H´Jek, V. Zizler
1995 Bulletin of the Australian Mathematical Society  
A characterisation is given of separable Banach spaces with symmetric Schauder bases which admit equivalent symmetric norms that are Gateaux difFerentiable or uniformly rotund in every direction. Some applications to questions on distortion of norms on loo are discussed. 0 ( i ) B Received 14th November, 1994 Supported in part by NSERC (Canada) Copyright Clearance Centre, Inc. Serial-fee code: 0004-9729/95 SA2.00+0.00.
doi:10.1017/s0004972700014647 fatcat:oj6qii6gbnhztheujyto7rrlym