Embeddings of $\ell_p$ into non-commutative spaces

Details Embeddings of $\ell_p$ into non-commutative spaces Embeddings of $\ell_p$ into non-commutative spaces

2000-04-24

arxiv.org/abs/math/0004146v1

Mathematics

Functional Analysis

21 pages

Scientific paper

Let $\M$ be a semi-finite von Neumann algebra equipped with a faithful normal trace $\tau$. We study the subspace structures of non-commutative Lorentz spaces $L_{p,q}(\M, \tau)$, extending results of Carothers and Dilworth to the non-commutative settings. In particular, we show that, under natural conditions on indices, $\ell_p$ can not be embedded into $L_{p,q}(\M, \tau)$. As applications, we prove that for $0

Affiliated with

Also associated with

No associations

Rating

Embeddings of $\ell_p$ into non-commutative spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Embeddings of $\ell_p$ into non-commutative spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Embeddings of $\ell_p$ into non-commutative spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601716