22 citations · 82 across the 16 of their papers we have counts for
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math.FA2018★ 3 cited
Approximation of norms on Banach spaces
Richard J. Smith, Stanimir Troyanski
Relatively recently it was proved that if is an arbitrary set, then any equivalent norm on can be approximated uniformly on bounded sets by polyhedral norms and $C^\in…
math.FA2018★ 2 cited
Polyhedrality and decomposition
Trond A. Abrahamsen, Vladimir P. Fonf, Richard J. Smith +1
The aim of this note is to present two results that make the task of finding equivalent polyhedral norms on certain Banach spaces, having either a Schauder basis or an uncountable…
math.FA2018★ 1 cited
Topology, isomorphic smoothness and polyhedrality in Banach spaces
Richard J. Smith
In recent decades, topology has come to play an increasing role in some geometric aspects of Banach space theory. The class of so-called -locally relatively compact sets was i…