| Register
\(\newcommand{\Cat}{{\rm Cat}} \) \(\newcommand{\A}{\mathcal A} \) \(\newcommand{\freestar}{ \framebox[7pt]{$\star$} }\)

3. Markov Type and Related Problems


    1. Add remark

      Problem 3.1.

      [Keith Ball] Is every Banach space with Markov type 2 superreflexive? More generally, is every Banach space with nontrivial Markov type superreflexive?


        • Add remark

          Problem 3.2.

          [Tom Hutchcroft] Is Markov type 2 equivalent to maximal Markov type 2 for general metrics spaces?


            • Add remark

              Problem 3.3.

              [Alexandros Eskenazis] Does there exist a sequence of $k$-regular graphs with unbounded girth that serve as test spaces for superreflexivity?
                1. Remark. A positive answer would imply that every Banach space with nontrivial Markov type is superreflexive.

                      Cite this as: AimPL: Metric embeddings, available at http://aimpl.org/metricembeddings.