N. J. Nielsen

activity

19982001

collaborators

3 papers

math.FA2001

A Banach space with a symmetric basis which is of weak cotype 2 but not of cotype 2

Peter G. Casazza, Niels J. Nielsen

We prove that the symmetric convexified Tsirelson space is of weak cotype 2 but not of cotype 2

math.FA1999

The solution to the Maurey extension problem for Banach spaces with the Gordon Lewis property and related structures

Peter G. Casazza, Niels Jorgen Nielsen

The main result of this paper states that if a Banach space X has the property that every bounded operator from an arbitrary subspace of X into an arbitrary Banach space of cotype…

math.FA1998

Embeddings of Banach Spaces into Banach Lattices and the Gordon-Lewis Property

Peter G. Casazza, N. J. Nielsen

In this paper we first show that if $X$ is a Banach space and $α$ is a left invariant crossnorm on $ℓ_{\infty} \otimes X$ , then there is a Banach lattice $L$ and an isometric embed…