On injectivity and nuclearity for operator spaces

Edward G. Effros, Narutaka Ozawa, Zhong Jin Ruan

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)489-521
Number of pages33
JournalDuke Mathematical Journal
Issue number3
StatePublished - 2001
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)


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