3 papers
math.FA2026
Characterizations of Asplund and Tame Functionals using Arens Products
Matan Komisarchik
We investigate the interaction between Arens products on the bidual of a Banach algebra and structural regularity properties of functionals on the algebra. Building on the classica…
math.FA2023
The Banach Algebra and Tame Functionals
Matan Komisarchik
We give an affirmative answer to a question due to M. Megrelishvili, and show that for every locally compact group we have $\operatorname{Tame}(L^{1}(G)) = \operatorname{Tame}(…
math.FA2022
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…