Representation of certain homogeneous Hilbertian operator spaces and applications
نویسندگان
چکیده
Following Grothendieck’s characterization of Hilbert spaces we consider operator spaces F such that both F and F ∗ completely embed into the dual of a C*-algebra. Due to Haagerup/Musat’s improved version of Pisier/Shlyakhtenko’s Grothendieck inequality for operator spaces, these spaces are quotients of subspaces of the direct sum C ⊕ R of the column and row spaces (the corresponding class being denoted by QS(C⊕R)). We first prove a representation theorem for homogeneous F ∈ QS(C ⊕R) starting from the fundamental sequences
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