B. Randrianantoanina

activity

19982008

collaborators

Showing 2001Show all

3 papers · 1 filter

math.FA2001

A note on Banach--Mazur problem

Beata Randrianantoanina

We prove that if $X$ is a real Banach space, with $dim X \geq 3$ , which contains a subspace of codimension 1 which is 1-complemented in $X$ and whose group of isometries is almost…

math.FA2001

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…

math.FA2001

A pseudo-Daugavet property for narrow projections in Lorentz spaces

Mikhail M. Popov, Beata Randrianantoanina

Let $X$ be a rearrangement-invariant space. An operator $T : X \to X$ is called narrow if for each measurable set $A$ and each $ε > 0$ there exists $x \in X$ with $x^2= χ_A, \int x d…