Banach

Download

banach@mathdept.okstate.edu

February 2022

2 participants
2 discussions

Banach spaces webinar on Friday 3/4/22 by Mikhail Ostrovskii (St. John's)
by Sari, Bunyamin 28 Feb '22

28 Feb '22

Please join us on Friday March 4 at 9AM (Central US time) for the following talk. (Please note the zoom link different than before) Zoom link: https://unt.zoom.us/j/85738310731 Best regards, Bunyamin Sari Title: Dvoretzky-type theorem for locally finite subsets of a Hilbert space Speaker: Mikhail Ostrovskii (St. John's) Abstract. The main result of the talk: Given any $\varepsilon>0$, every locally finite subset of $\ell_2$ admits a $(1+\varepsilon)$-bilipschitz embedding into an arbitrary infinite-dimensional Banach space. The result is based on two results which are of independent interest: (1) A direct sum of two finite-dimensional Euclidean spaces contains a sub-sum of a controlled dimension which is $\varepsilon$-close to a direct sum with respect to a $1$- unconditional basis in a two-dimensional space. (2) For any finite-dimensional Banach space $Y$ and its direct sum $X$ with itself with respect to a $1$-unconditional basis in a two-dimensional space, there exists a $(1+\varepsilon)$-bilipschitz embedding of $Y$ into $X$ which on a small ball coincides with the identity map onto the first summand and on a complement of a large ball coincides with the identity map onto the second summand. (joint with F. Catrina and S. Ostrovska)

1 0

Postdoctoral contracts Granada Univeristy
by Ginés López 25 Feb '22

25 Feb '22

The Institute of Mathematics of the University of Granada (IMAG) offers postdoctoral contracts around every mathematical area of research supported by the María de Maeztu Seal of Excellence. The deadline to appy is March 24th. The requirements and way to apply can be seen at banach(a)mathdept.okstate.edu The 4 contracts offered will have a duration of 2 years with a competitive salary in Spain (30.000-35.000 euros per year depending on thesis defense date). Thank you for spreading this news. Ginés López Granada University

2 1