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math.FA2009
Constructions of sequential spaces
Jarno Talponen
We introduce and study certain type of variable exponent \ell^p spaces. These spaces will typically not be rearrangement-invariant but instead they enjoy a good local control of so…
math.FA2009
Uniformly convex-transitive function spaces
Fernando Rambla-Barreno, Jarno Talponen
We introduce a property of Banach spaces called uniform convex-transitivity, which falls between almost transitivity and convex-transitivity. We will provide examples of uniformly…
math.FA2006★ 2 cited
On Asymptotic Transitivity in Banach Spaces
J. Talponen
We introduce a flexible almost isometric version of the almost transitivity property of Banach spaces. With the help of this new notion we generalize to several directions a strong…