Abstract of a paper by Quanhua Xu
This is an announcement for the paper "Embedding of $C_q$ and $R_q$ into noncommutative $L_p$-spaces, $1\le p<q\le 2$" by Quanhua Xu. Abstract: We prove that a quotient of subspace of $C_p\oplus_pR_p$ ($1\le p<2$) embeds completely isomorphically into a noncommutative $L_p$-space, where $C_p$ and $R_p$ are respectively the $p$-column and $p$-row Hilbertian operator spaces. We also represent $C_q$ and $R_q$ ($p<q\le2$) as quotients of subspaces of $C_p\oplus_pR_p$. Consequently, $C_q$ and $R_q$ embed completely isomorphically into a noncommutative $L_p(M)$. We further show that the underlying von Neumann algebra $M$ cannot be semifinite. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: Primary 46L07; Secondary 47L25 The source file(s), embed.tex: 63829 bytes, is(are) stored in gzipped form as 0505307.gz with size 19kb. The corresponding postcript file has gzipped size 96kb. Submitted from: qx@math.univ-fcomte.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0505307 or http://arXiv.org/abs/math.FA/0505307 or by email in unzipped form by transmitting an empty message with subject line uget 0505307 or in gzipped form by using subject line get 0505307 to: math@arXiv.org.
participants (1)
-
Dale Alspach