Workshop in Analysis and Probability Seminar

Date: July 26, 2017

Time: 3:00PM - 3:50PM

Location: BLOC 220

Speaker: Jesus Suarez, University of Extremadura

Title: Weak Hilbert structures on twisted sums of \ell_2

Abstract: We study when a twisted sum of \ell_2 with itself may be close to be a Weak Hilbert space, namely if it may have the property (H) or to be asymptotically \ell_2 for example. We show that \ell_2 is the only symmetric twisted sum of \ell_2 that may be a Weak Hilbert space. On the other hand, we may prove that there is a nontrivial twisted sum of \ell_2 having the E(n,n,K)-property introduced by Nielsen and Tomczak-Jaegermann. Several open problems will be explained.