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Texas A&M University
Mathematics

Workshop in Analysis and Probability Seminar

Date: July 26, 2017

Time: 2:00PM - 2:50PM

Location: BLOC 220

Speaker: Cleon Da Silva Barroso, Universidade Federal do Ceará

  

Title: Existence of shift basic sequences and its implications

Abstract: It is shown that every seminormalized sequence with no weakly convergent subsequences admits a wide-(s) subsequence which is shift equivalent. Also, basic sequences with shiftable properties are studied. They give rise to a generalized form of the Pelczynski's property (u), called property (su). It is shown that every Banach space with a conditional spreading basis has property (su). As a consequence the classical James’ space J2 has property (su), which nicely contrast with the fact that it does not have Pelczynski's property (u).