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Coarse geometry of operator spaces and complete isomorphic embeddings into and -sums of operator spaces
Bruno de Mendonça Braga, Timur Oikhberg
The nonlinear geometry of operator spaces has recently started to be investigated. Many notions of nonlinear embeddability have been introduced so far, but, as noticed before by ot…
Towards a theory of coarse geometry of operator spaces
Bruno de Mendonça Braga
We introduce two notions of coarse embeddability between operator spaces: almost complete coarse embeddability of bounded subsets and spherically-complete coarse embeddability. We…
On asymptotically uniformly smoothness and nonlinear geometry of Banach spaces
Bruno de Mendonça Braga
These notes concern the nonlinear geometry of Banach spaces, asymptotic uniform smoothness and several Banach-Saks-like properties. We study the existence of certain concentration…
Nonlinear weakly sequentially continuous embeddings between Banach spaces
Bruno de Mendonça Braga
In these notes, we study nonlinear embeddings between Banach spaces which are also weakly sequentially continuous. In particular, our main result implies that if a Banach space …