Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 24, No 2, (1998), 187p-198p
Abstract:
We prove that if a Banach space X admits a Lipschitz β-smooth
bump function, then (X ∗ , weak ∗ ) is fragmented by a metric, generating a
topology, which is stronger than the τβ -topology. We also use this to prove
that if X ∗ admits a Lipschitz Gateaux-smooth bump function, then X is
sigma-fragmentable.
