7 papers
On the extension of Hölder maps with values in spaces of continuous functions
Gilles Lancien, Beata Randrianantoanina
We study the isometric extension problem for Hölder maps from subsets of any Banach space into or into a space of continuous functions. For a Banach space , we prove that…
On the structure of level sets of uniform and Lipschitz quotient mappings from to
Beata Randrianantoanina
We study two questions posed by Johnson, Lindenstrauss, Preiss, and Schechtman, concerning the structure of level sets of uniform and Lipschitz quotient maps from . We sh…
Contractive projections in Orlicz sequence spaces
Beata Randrianantoanina
We characterize norm one complemented subspaces of Orlicz sequence spaces equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function is sufficien…
A note on Banach--Mazur problem
Beata Randrianantoanina
We prove that if is a real Banach space, with , which contains a subspace of codimension 1 which is 1-complemented in and whose group of isometries is almost…
Norm One Projections in Banach Spaces
Beata Randrianantoanina
This is the survey of results about norm one projections and 1-complemented subspaces in Köthe function spaces and Banach sequence spaces. The historical development of the theory…
A pseudo-Daugavet property for narrow projections in Lorentz spaces
Mikhail M. Popov, Beata Randrianantoanina
Let be a rearrangement-invariant space. An operator is called narrow if for each measurable set and each there exists with $x^2= χ_A, \int x d…