2011/10/26 by Deguang Han, Han, Deguang, David R. Larson +5 · 50 citations
Mathematics · #46B15 #46B25 #46G10 #46L07 #46L10 #46L51 #47A20 (Primary) 42C15 #47B48 (Secondary) #Advanced Operator Algebra Research #Algebra over a field #Bounded function #Bounded operator #Combinatorics #Dilation (metric space) #Discrete mathematics #FOS: Mathematics #Finite-rank operator #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Operator (biology) #Operator Algebras (math.OA) #Pure mathematics #Quasinormal operator #math.FA #math.OA #msc:42C15 #msc:46B15 #msc:46B25 #msc:46G10 #msc:46L07 #msc:46L10 #msc:46L51 #msc:47A20 #msc:47B48
paper · pdf · doi:10.48550/arxiv.1110.5833
published in arXiv (Cornell University) (Cornell University) · 88 pages, to appear in Memoirs of the American Mathematical Society
openalex publication_date 2011/10/26 · arxiv created 2012/07/20 · arxiv updated 2012/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
We develop elements of a general dilation theory for operator-valued measures and bounded linear maps between operator algebras that are not necessarily completely-bounded. We prove our main results by extending and generalizing some known results from the theory of frames and framings.