Hello, The next Banach spaces webinar is on Friday February 19 at 9AM Central time. Please join us at https://yorku.zoom.us/j/92333379646?pwd=MkNyYWpmYTg3VWN3S2dON1kxU0pwdz09<https://nam04.safelinks.protection.outlook.com/?url=https%3A%2F%2Fyorku.zoom.us%2Fj%2F92333379646%3Fpwd%3DMkNyYWpmYTg3VWN3S2dON1kxU0pwdz09&data=04%7C01%7CBunyamin.Sari%40unt.edu%7Cef2777652f7d40e7e00808d8d4270f48%7C70de199207c6480fa318a1afcba03983%7C0%7C1%7C637492611535837210%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C1000&sdata=UIApHDb07LiBnePXRBlMIKpFU4ktID5fUywO6ZDv2nM%3D&reserved=0> Note: Please use the above link not the usual webinar link. Moreover, if you receive an automated reminder email an hour before the talk please ignore it. We are experiencing an unprecedented winter storm in TX and all school systems are down so I cannot access to the webinar account. Thank you to Pavlos Motakis for hosting this week! ********************************** Speaker: Sophie Grivaux (University of Lille) Title: Typical properties of contractions on $\ell_p$-spaces Abstract: Given a separable Banach space $X$ of infinite dimension, one can consider on the space $\mathcal{B}(X)$ of bounded linear operators on $X$ several natural topologies which turn the closed unit ball $B_1(X)=\{T\in\mathcal{B}(X);||T||\le 1\}$ into a Polish space, i.e. a separable and completely metrizable space. In these talk, I will present some results concerning typical properties in the Baire Category sense of operators of $B_1(X)$ for these topologies when $X$ is a $\ell_p$-space, our main interest being to determine whether typical contractions on these spaces have a non-trivial invariant subspace or not. For more information about the past and future talks, and videos please visit the webinar website http://www.math.unt.edu/~bunyamin/banach Thank you, and best regards, Bunyamin Sari