G. Lancien

activity

19992004

collaborators

5 papers

math.FA2004

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 $c_{0}$ or into a space of continuous functions. For a Banach space $X$ , we prove that…

math.FA2000

$L^{p} -$ maximal regularity on Banach spaces with a Schauder basis

N. J. Kalton, G. Lancien

We investigate the problem of $L^{p}$ -maximal regularity on Banach spaces having a Schauder basis. Our results improve those of a recent paper.

math.FA1999

Szlenk indices and uniform homeomorphisms

G. Godefroy, N. J. Kalton, G. Lancien

We prove some rather precise renorming theorems for Banach spaces with Szlenk index $ω_{0}$ . We use these theorems to show the invariance of certain quantitative Szlenk-type indices…

math.FA1999

Subspaces of c_0 and Lipschitz isomorphisms

G. Godefroy, N. J. Kalton, G. Lancien

We show that the class of subspaces of c_0 is stable under Lipschitz isomorphisms. The main corollary is that any Banach space which is Lipschitz isomorphic to c_0 is linearly isom…

math.FA1999

A solution to the problem of $L^{p} -$ maximal regularity

N. J. Kalton, G. Lancien

We give a negative solution to the problem of the $L^{p}$ -maximal regularity on various classes of Banach spaces including $L^{q}$ -spaces with $1 < q \neq = 2 < + \infty$ .

On the extension of Hölder maps with values in spaces of continuous functions

Lp−maximal regularity on Banach spaces with a Schauder basis

Szlenk indices and uniform homeomorphisms

Subspaces of c_0 and Lipschitz isomorphisms

A solution to the problem of Lp−maximal regularity

$L^{p} -$ maximal regularity on Banach spaces with a Schauder basis

A solution to the problem of $L^{p} -$ maximal regularity