Dosiev, A.Mathematics2024-07-052024-07-0520070016-266310.1007/s10688-007-0029-42-s2.0-38349081666https://doi.org/10.1007/s10688-007-0029-4https://hdl.handle.net/20.500.14411/880In this note, we generalize Ruan's representation theorem and propose an Arveson-Hanh-Banach-Webster theorem for local operator spaces. Further, we investigate the decomposability of a complete contraction acting from a unital multinormed C*-algebra to a local operator system into a product of contractions and a unital contractive *-representation, and we study injectivity in both local operator space and local operator system contexts.eninfo:eu-repo/semantics/closedAccesslocal operator spacelocal operator systemmultinormed C*-algebraArticleQ4414306310WOS:0002535204000075