42 citations · 155 across the 27 of their papers we have counts for
7 papers · 1 filter
Tameness and Rosenthal type locally convex spaces
Matan Komisarchik, Michael Megrelishvili
Motivated by Rosenthal's famous -dichotomy in Banach spaces, Haydon's theorem, and additionally by recent works on tame dynamical systems, we introduce the class of tame local…
Topological group actions by group automorphisms and Banach representations
Michael Megrelishvili
We study Banach representability for actions of topological groups on groups by automorphisms (in particular, actions of groups on itself by conjugations). Every such action is Ban…
Median pretrees and functions of bounded variation
Michael Megrelishvili
We introduce functions of bounded variation on median algebras and study some properties for median pretrees. We show that if is a compact median pretree in its shadow topology…
Tame functionals on Banach algebras
Michael Megrelishvili
In the present note we introduce tame functionals on Banach algebras. A functional on a Banach algebra is tame if the naturally defined linear operator $A \to A^*,…
Non-archimedean transportation problems and Kantorovich ultra-norms
Michael Megrelishvili, Menachem Shlossberg
We study a non-archimedean (NA) version of transportation problems and introduce naturally arising ultra-norms which we call Kantorovich ultra-norms. For every ultra-metric space a…
Generalized Heisenberg groups and Shtern's question
Michael Megrelishvili
Let H(X) be the generalized Heisenberg group induced by a normed space X. We prove that X is a relatively minimal subgroup of H(X). We show that the group is refle…