Abstract
An injective operator space $V$ which is dual as a Banach space has the form $eR(1-e)$, where $R$ is an injective von Neumann algebra and where $e$ is a projection in $R$. This is used to show that an operator space $V$ is nuclear if and only if it is locally reflexive and $V∧{\ast\ast }$ is injective. It is also shown that any exact operator space is locally reflexive.
Original language | English (US) |
---|---|
Pages (from-to) | 489-521 |
Number of pages | 33 |
Journal | Duke Mathematical Journal |
Volume | 110 |
Issue number | 3 |
DOIs | |
State | Published - 2001 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics