MenuEvents for 07/29/2014 from all calendars
Workshop in Analysis and Probability Seminar
Time: 11:00AM - 12:00PM
Location: Blocker 163
Speaker: Timur Oikhberg, University of Illinois at Urbana-Champaign
Title: Almost disjointness preserving maps (joint work with Pedro Tradacete, Carlos III University)
Abstract: We say that an operator T between Banach lattices E and F is c-disjointness preserving if, for any disjoint elements x and y in E, we have $\| |Tx| \wedge |Ty| \| \leq c (\|x\| \vee \|y\|)$. When can such a T be approximated by a disjointness preserving operator - that is, when does there exist a disjointness preserving operator S so that $\|T - S\| \leq f(c)$, with $\lim_{c \to 0} f(c) = 0$? In certain cases, we obtain a positive answer. However, we also present examples of c-disjointness preserving operators which have no nice disjointness preserving approximants.
Workshop in Analysis and Probability Seminar
Time: 4:00PM - 5:00PM
Location: Blocker 163
Speaker: Jeff Ledford, Virginia Commonwealth University
Title: Families of Interpolators on Scattered Data
Abstract: In this talk we will introduce certain families of interpolation operators on scattered data. These families admit both pointwise convergence and L^2 convergence. Along the way we will see examples in both one and two dimensions, as well as discuss extensions to higher dimensions.
