Professor GILLES GODEFROY (IMJ Paris)

will speak on

Existence and uniqueness of isometric preduals

Time: 2:00PM
Date: Mon 29th April 2024
Location: E0.32 (beside Pi restaurant) [map]

Abstract: Every Banach space $X$ has a dual space $X^*$ consisting of all the continuous linear forms on $X$. Easy examples show that the duality arrow $X \mapsto X^*$ is not one-to-one. Also, some Banach spaces are isometric to dual spaces but not all of them, and it can be difficult to decide when a space has an isometric predual. We will display some elementary tools which lead to natural results along these lines. We will also exhibit links between duality issues and the structure of Banach lattices and Banach algebras.

(This talk is part of the UCD School of Mathematics and Statistics Colloquium series.)

PDF notice

Return to all seminars