2008/07/27 by David P. Blecher, Bojan Magajna · 1 citation
Mathematics · Physics and Astronomy · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Algebra over a field #Banach space #Compact operator #Compact operator on Hilbert space #Computer science #Discrete mathematics #Dual (grammatical number) #Extension (predicate logic) #Finite-rank operator #Hilbert space #Holomorphic and Operator Theory #Mathematics #Multiplication operator #Nuclear operator #Operator (biology) #Operator space #Pure mathematics #Quasinormal operator #Repressor #Shift operator #Unital #Unitary operator #Weak operator topology #math-ph #math.FA #math.MP #math.OA
paper · pdf · doi:10.1112/blms/bdq103
10 pages
arxiv created 2008/07/27 · openalex publication_date 2010/12/24 · arxiv updated 2014/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We characterize weak* closed unital vector spaces of operators on a Hilbert space H. More precisely, we first show that an operator system, which is the dual of an operator space, can be represented completely isometrically and weak* homeomorphically as a weak* closed operator subsystem of B(H). An analogous result is proved for unital operator spaces. Finally, we give some somewhat surprising examples of dual unital operator spaces.