Events for 07/18/2024 from all calendars
Workshop in Analysis and Probability Seminar
Time: 3:00PM - 4:00PM
Location: BLOC 302
Speaker: Apoorva Mate, University of Mississippi
Title: Pełczyński's Properties (V) and (V*) on Positive Tensor Products of Banach Lattices.
Abstract: In 1962, Pełczyński introduced and studied a geometric property, now called Pełczyński’s property (V) and (V*), for Banach spaces. All reflexive Banach spaces have Pełczyński’s property (V) and (V*). Since then several examples of non-reflexive Banach spaces with Pełczyński’s property (V) were provided in many papers. For instance, new examples were provided by Cheng & He and Bu & Li in 2021 and 2022. I will discuss the inheritance of Pełczyński’s property (V) and (V*) from Banach lattices E and X to their positive injective tensor product and positive projective tensor product. As an application, I will provide new examples of non-reflexive Banach lattices with Pełczyński’s property (V) and (V*).