Hello,

The next Banach spaces webinar is on Friday July 9 at 9AM Central time. Please join us at

https://unt.zoom.us/j/83807914306

Title: Bidemocratic bases and their connections with other greedy-type bases Speaker. Miguel Berasategui (University of Buenos Aires)

Abstract: In this talk we will focus on bidemocratic bases of Banach and quasi-Banach spaces, and their greedy-like properties. In particular, we will address the relation between bidemocratic bases and quasi-greedy bases. On the one hand, there are subspaces of $\ell_p$ with bidemocratic bases that are not quasi-greedy. On the other hand, for every arbitrary fundamental function $\varphi$, there is a Banach space with a bidemocratic, quasi-greedy conditional Schauder basis whose fundamental funcion grows as $\varphi$.

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