22 citations · 82 across the 16 of their papers we have counts for
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math.FA2007★ 15 cited
Gruenhage compacta and strictly convex dual norms
Richard J. Smith
We prove that if K is a Gruenhage compact space then C(K)* admits an equivalent, strictly convex dual norm. As a corollary, we show that if X is a Banach space and X* is the |.|-cl…
math.FA2007★ 3 cited
Trees, linear orders and Gâteaux smooth norms
Richard J. Smith
We introduce a linearly ordered set Z and use it to prove a necessity condition for the existence of a Gâteaux smooth norm on C(T), where T is a tree. This criterion is directly an…