Theoretical Statistics and Mathematics Unit, ISI Delhi

April 16, 2014 (Wednesday) ,
3:30 PM at Webinar

Speaker:
Abdullah Bin Abu Baker,
Indian Statistical Institute, Delhi

Title:
On Some classes of Projections in Banach Spaces

Abstract of Talk

A projection $P$ on a Banach space $X$ is said to be a generalized bi-circular projection if $P + \lambda (I - P)$ is a surjective isometry on $X$ , where $\lambda$ is a complex number of unit modulus and not equal to 1. In this talk we will prove several results concerning the representation of generalized bi-circular projections on Banach spaces. We will also find the structure of norm one projections in the convex hull of 3 isometries on the space of continuous functions on a compact Hausdorff space.