Operator space characterizations of C*-algebras and ternary rings
Copyright policy )Operator space characterizations of C*-algebras and ternary rings
We prove that an operator space is completely isometric to a ternary ring of operators if and only if the open unit balls of all of its matrix spaces are bounded symmetric domains. From this we obtain an operator space characterization of C*-algebras.
20 pages, latex, submitted in November 2001
- University of California United States
- University of California, Irvine United States
- Denison University United States
bounded symmetric domains, General Mathematics, operator spaces, 46L07,46L70;17C65, Mathematics - Operator Algebras, 17C65, 46L07,46L70, Pure Mathematics, Functional Analysis (math.FA), Mathematics - Functional Analysis, General theory of \(C^*\)-algebras, FOS: Mathematics, Operator spaces and completely bounded maps, ternary rings of operators, Nonassociative selfadjoint operator algebras, Operator Algebras (math.OA)
bounded symmetric domains, General Mathematics, operator spaces, 46L07,46L70;17C65, Mathematics - Operator Algebras, 17C65, 46L07,46L70, Pure Mathematics, Functional Analysis (math.FA), Mathematics - Functional Analysis, General theory of \(C^*\)-algebras, FOS: Mathematics, Operator spaces and completely bounded maps, ternary rings of operators, Nonassociative selfadjoint operator algebras, Operator Algebras (math.OA)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).16 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!