20 citations · 55 across the 34 of their papers we have counts for
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math.FA2007
Convex-transitivity and function spaces
Jarno Talponen
If X is a convex-transitive Banach space and 1\leq p\leq \infty then the closed linear span of the simple functions in the Bochner space L^{p}([0,1],X) is convex-transitive. If H i…
math.FA2007
Convex-transitive characterizations of Hilbert spaces
Jarno Talponen
In this paper we investigate real convex-transitive Banach spaces X, which admit a 1-dimensional bicontractive projection P on X. Various mild conditions regarding the weak topolog…
math.FA2007★ 4 cited
On weakly extremal structures in Banach spaces
J. Talponen
This paper deals with the interplay of the geometry of the norm and the weak topology in Banach spaces. Both dual and intrinsic connections between weak forms of rotundity and smoo…