A classification for 2-isometries of noncommutative Lp-spaces
| dc.creator | Junge, Marius | |
| dc.creator | Ruan, Zhong-Jin | |
| dc.creator | Sherman, David | |
| dc.date | 2004-02-11 | |
| dc.date.accessioned | 2026-07-07T05:05:22Z | |
| dc.date.available | 2026-07-07T05:05:22Z | |
| dc.description | In this paper we extend previous results of Banach, Lamperti and Yeadon on isometries of Lp-spaces to the non-tracial case first introduced by Haagerup. Specifically, we use operator space techniques and an extrapolation argument to prove that every 2-isometry T : Lp(M) to Lp(N) between arbitrary noncommutative Lp-spaces can always be written in the form T(phi^{1/p}) = w (phi circ pi^{-1} circ E)^{1/p}, for phi in M_*^+. Here pi is a normal *-isomorphism from M onto the von Neumann subalgebra pi(M) of N, w is a partial isometry in N, and E is a normal conditional expectation from N onto pi(M). As a consequence of this, any 2-isometry is automatically a complete isometry and has completely contractively complemented range. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0402181 | |
| dc.identifier | http://arxiv.org/abs/math/0402181 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70137 | |
| dc.subject | Operator Algebras | |
| dc.title | A classification for 2-isometries of noncommutative Lp-spaces | |
| dc.type | text |