Banach June 2021

banach@mathdept.okstate.edu

1 participants
3 discussions

Announcement of A Talk
by Bentuo Zheng (bzheng) 24 Jun '21

24 Jun '21

Hello, The next Banach spaces webinar is on Friday June 18 at 9AM Central time. Please join us at https://unt.zoom.us/j/83807914306 Title: On the embeddability of the family of countably Branching trees into quasi-reflexive Banach spaces Speaker: Yoël Perreau (Besançon) Abstract. This talk will be centered on an asymptotic analogue of Bourgain's metric characterization of superreflexivity due to F. Baudier, N. Kalton and G. Lancien which can be reformulated as follows: the family $(T_N)$ of hyperbolic countably branching trees is a test family for the property $(\beta)$ of Rolewickz (also known as asymptotic superreflexivity) inside the class of reflexive Banach spaces. In other words a reflexive Banach space $X$ admits an equivalent norm with property $(\beta)$ if and only if it does not contain equi-Lipschitz the family $(T_N)$. We will explain how this result can be reformulated in terms of the values of the Szlenk index of the Banach space $X$ and of its dual space $X^*$ as written in the original paper and we will show how this characterization can be extended to the larger class of superreflexive Banach spaces. As a consequence we will answer the question of the embeddability of the family $(T_N)$ into the James space $\mathcal{J}$ and show that the non-embeddability of the family $(T_N)$ is not a sufficient condition for reflexivity. For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach

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Announcement of SUMIRFAS
by Bentuo Zheng (bzheng) 23 Jun '21

23 Jun '21

Dear Colleagues, We hope to find you all in good health. This Summer, SUMIRFAS 2021 will be the main event of the Workshop in Analysis and Probability at Texas A&M University. Due to ongoing travel restrictions, we will offer a hybrid version of the iconic SUMIRFAS event. This means that ALL talks will be available online but the talks will also be broadcasted LIVE in an amphitheater on campus! We expect that some speakers will be able to deliver their talks in person and on campus. Therefore, we will be happy to accommodate mathematicians who will be willing to attend the talks with other fellow participants on the Texas A&M campus while the SUMIRFAS will be happening. Dictated by the fluid sanitary situation, we might have to limit the number of participants on-campus in order to guarantee a safe and healthy environment. To register to SUMIRFAS 2021 (whether you will attend in person or remotely) please contact Cara Starmer or one of the organizers: Bill Johnson, Irina Holmes, Eviatar Procaccia, or Flo Baudier. More practical information, contact information, and the list of speakers is available here: https://www.math.tamu.edu/~irinaholmes/SUMIRFAS21/SUMIRFAS2021.html We look forward to seeing you in Aggieland soon. Flo Baudier, Bill Johnson, Irina Holmes, Eviatar Procaccia.

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Talk Annoucement
by Bentuo Zheng (bzheng) 17 Jun '21

17 Jun '21

Hello, Hope you all having a good summer break. The next Banach spaces webinar is on Friday June 18 at 9AM Central time. Please join us at https://unt.zoom.us/j/83807914306 Title: A discrete framework for interpolation of Banach spaces Speakers: Nick Lindemulder (Karlsruhe Institute of Technology) and Emiel Lorist (University of Helsinki) Abstract: We develop a discrete framework for the interpolation of Banach spaces, which contains e.g. the well-known real and complex interpolation methods, but also more exotic methods like the $\pm$-method, the Radamacher interpolation method and the $\ell^p$-interpolation method, as concrete examples. Our method is based on a sequential structure imposed on a Banach space and has both a formulation modelled after the real and the complex interpolation methods. For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach

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Banach June 2021