Dear all,

The next Banach spaces webinar is on Friday November 13 at 9AM CDT (e.g., Dallas, TX time). Please join us at

https://unt.zoom.us/j/512907580

Speaker: Eva Pernecká, Czech Technical University in Prague Title: Lipschitz free spaces and their biduals

Abstract: We will study continuous linear functionals on Lipschitz spaces with special focus on those belonging to canonical preduals, the Lipschitz free spaces. We will show that in order to verify weak$^*$ continuity of a functional, it suffices to do so for bounded monotone nets of Lipschitz functions. Then, after introducing a notion of support for the functionals, we will discuss their relation to measures. In particular, we will identify the functionals induced by measures as those functionals that admit a Jordan-like decomposition into a positive and a negative part. The talk will be based on joint work with Ramón J. Aliaga.

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