2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101080We investigate some extremal cases of exactness constant and completely bounded projection constant. More precisely, for an $n$-dimensional operator space $E$ we prove that $λ_{cb}(E) = \sqrt{n}$ if and only if $ex(E) = \sqrt{n}$, which is equivalent to $λ_{cb}(E) < \sqrt{n}$ if and only if $ex(E) < \sqrt{n}$.7 pages, The whole paper is reorganizedFunctional AnalysisOperator Algebrastext