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Texas A&M University
Mathematics

Events for 07/18/2024 from all calendars

Workshop in Analysis and Probability Seminar

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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*).