arXiv subjects

J. Talponen

Publications and source records attributed to J. Talponen.

2 recordsLinked to original sources

arXiv2007

On weakly extremal structures in Banach spaces

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 smoothness ared discussed. Weakly exposed points, weakly locally uniformly rotund spaces, smoothness, duality and the interplay of all the above are studied.

math.FA↗

arXiv2006

On Asymptotic Transitivity in Banach Spaces

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 recent rotational characterization of Hilbert spaces due to Randrianantoanina. This characterization is a partial answer to the classical Banach-Mazur rotation problem.

math.FA↗