Combinatorial Banach Spaces

This talk explores the theory of Banach spaces induced by graphs and hypergraphs, similar to how the Schreier family induces the Schreier space. Presented by Piotr Borodulin-Nadzieja at the Workshop on "Structures in Banach Spaces" held at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI) in March 2025, the 42-minute presentation covers structural theorems and various examples, both old and new, while highlighting connections to the theory of analytic P-ideals. Discover the mathematical foundations and combinatorial aspects of these specialized Banach spaces through this advanced mathematical discussion.