Contractive projections and operator spaces

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dc.creatorNeal, Matthew
dc.creatorRusso, Bernard
dc.date2002-01-21
dc.date.accessioned2026-07-07T04:45:59Z
dc.date.available2026-07-07T04:45:59Z
dc.descriptionParallel to the study of finite dimensional Banach spaces, there is a growing interest in the corresponding local theory of operator spaces. We define a family of Hilbertian operator spaces H_n^k,0< k < n+1, generalizing the row and column Hilbert spaces R_n,C_n and show that an atomic subspace X of B(H) which is the range of a contractive projection on B(H) is isometrically completely contractive to a direct sum of the H_n^k and Cartan factors of types 1 to 4. In particular, for finite dimensional X, this answers a question posed by Oikhberg and Rosenthal. Explicit in the proof is a classification up to complete isometry of atomic w*-closed JW*-triples without an infinite dimensional rank 1 w^*-closed ideal
dc.description40 pages, latex, the paper was submitted in October of 2000 and an announcement with the same title appeared in C. R. Acad. Sci. Paris 331 (2000), 873-878
dc.identifierhttps://arxiv.org/abs/math/0201187
dc.identifierhttp://arxiv.org/abs/math/0201187
dc.identifierTransactions of the AMS 355 No. 6 (2003) 2223-2262
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63160
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject17C65; 46l07
dc.titleContractive projections and operator spaces
dc.typetext

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