
details Title Abstract Let $X$ be a vector space and let $\phi, \psi \in X^\ast$ be two linear forms on $X.$ It is well known that if, for any $x \in X, $ $$\phi(x) = 0 \Rightarrow \psi(x) = 0,$$ then $\psi = c \phi$ for some scalar $c.$ A continuous version is also known. Namely, if $X$ has a norm, if $\phi = \ \psi \ = 1,$ and if, for any $x \in X,$ with $ \x\ = 1,$ $$\phi(x) = 0 \Rightarrow \psi(x) < \epsilon,$$ then either $\phi + \psi < 2\epsilon$ or $\phi  \psi < 2\epsilon.$ In this talk, we will discuss analogous questions for the case of multilinear forms on a product of spaces, $X_1 \times \cdots \times X_n \to \mathbb{K}.$ (This is joint work with A Cardwell, L. Downey, D. GarcĂa, M. Maestre, and I. Zalduendo.) Speaker(s) Date Time Room 

CMUC 
