Hello,

The next Banach spaces webinar is on Friday February 26 at 9AM Central time. Please join us at

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

Speaker: Ben Wallis (Kishwaukee College) Title: Garling and Lorentz Sequence Spaces

Abstract. We survey some recent results of Garling and Lorentz sequence spaces. Namely, we show that Garling sequence spaces have a unique subsymmetric basis which is not symmetric, are complementably homogeneous, and uniformly complementably lp-saturated. We also exhibit, under certain conditions, a chain of uncountably many closed ideals in its operator algebra, and then do the same for the Lorentz sequence spaces. Finally, we find a nontrivial complemented subspace which is not isomorphic to lp.

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