N. Kalton

activity

19982008

most citedBest constants for Lipschitz embeddings of metric spaces into c_0

3 citations · 7 across the 7 of their papers we have counts for

collaborators

Showing 1999Show all

5 papers · 1 filter

math.FA1999

On subspaces of c_0 and extension of operators into C(K)-spaces

N. J. Kalton

Johnson and Zippin recently showed that if $X$ is a weak^*-closed subspace of $ℓ_{1}$ and T:X-> C(K) is any bounded operator then T can extended to a bounded operator $\tilde T:\e…

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

Polynomial approximation on convex subsets of $\mathbb R^n

Y. Brudnyi, N. J. Kalton

Let K be a closed bounded convex subset of $R^{n}$ ; then by a result of the first author, which extends a classical theorem of Whitney there is a constant $w_{m} (K)$ so that for e…

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 subspaces of c_0 and extension of operators into C(K)-spaces

Szlenk indices and uniform homeomorphisms

Subspaces of c_0 and Lipschitz isomorphisms

Polynomial approximation on convex subsets of $\mathbb R^n

A solution to the problem of Lp−maximal regularity

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