4 citations · 6 across the 9 of their papers we have counts for
9 papers
Special symmetries of Banach spaces isomorphic to Hilbert spaces
Jarno Talponen
In this paper Hilbert spaces are characterized among Banach spaces in terms of transitivity with respect to nicely behaved subgroups of the isometry group. For example, the followi…
Simultaneous realization of function space structures in transitive Banach spaces
Fernando Rambla, Jarno Talponen
This paper has been withdrawn, since it contains a corollary with impossible consequences and the source of an error is currently unknown.
The isometry group of L^{p}(μ,\X) is SOT-contractible
Jarno Talponen
We will show that if (Ω,Σ,μ) is an atomless positive measure space, X is a Banach space and 1\leq p<\infty, then the group of isometric automorphisms on the Bochner space L^{p}(μ,X…
Lindelof type of generalization of separability in Banach spaces
Jarno Talponen
We will introduce the countable separation property (CSP) of Banach spaces X, which is defined as follows: For each subset \mathcal{F} of X^{\ast}, which separates X, there exists…
Operators on C_{0}(L,X) whose range does not contain c_{0}
Jarno Talponen
This paper contains the following results: a) Suppose that X is a non-trivial Banach space and L is a non-empty locally compact Hausdorff space without any isolated points. Then ea…
A Note on the class of superreflexive almost transitive Banach spaces
Jarno Talponen
The class J of simultaneously almost transitive, uniformly convex and uniformly smooth Banach spaces is characterized in terms of convex-transitivity and weak geometry of the norm.