Premium
On uniformly Gâteaux differentiable norms in C ( K )
Author(s) -
Moltó A.,
Troyanski S.
Publication year - 1994
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300007348
Subject(s) - uncountable set , mathematics , differentiable function , separable space , norm (philosophy) , space (punctuation) , pure mathematics , mathematical analysis , law , political science , philosophy , countable set , linguistics
It is proved that C ( K ) has no equivalent uniformly Gâteaux differentiable norm (UGD) when K ‐is an uncountable separable scattered com¬pact space. This result is applied to obtain an example of scattered compact K such that K ′″ = ∅ and C ( K ) has no UGD renorming.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom