Workshop in Analysis and Probability Seminar

Date: July 24, 2015

Time: 11:00AM - 12:00PM

Location: Blocker 220

Speaker: Ryan Causey, University of South Carolina

Title: A Dichotomy for Tress and Applications

Abstract: We discuss the use of trees and ordinal indices in Banach space theory. We present a few related dichotomies for trees and discuss a number of applications. Applications include measuring the Bourgain l_p or c₀ indices and Szlenk indices of Banach spaces and operators, deducing generalizations of James' result on the non-distortability of l_p and c₀, and establishing new classes of operator ideals.