Abstract
This work creates two categories of "array-weighted sets" for the purposes of constructing universal matrix-normed spaces and algebras. These universal objects have the analogous universal property to the free vector space, lifting maps completely bounded on a generation set to a completely bounded linear map of the matrix-normed space. Moreover, the universal matrix-normed algebra is used to prove the existence of a free product for matrix-normed algebras using algebraic methods.
Citation
Will Grilliette. "Scaled-free objects II." Ann. Funct. Anal. 6 (3) 216 - 261, 2015. https://doi.org/10.15352/afa/06-3-18
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