Workshop in Analysis and Probability Seminar

Date: July 18, 2019

Time: 3:00PM - 3:50PM

Location: BLOC 605AX

Speaker: Geraldo Botelho, Universidade Federal de Uberlândia

Title: Injective polynomial ideals and the domination property

Abstract: First we sketch the basic theory of injective ideals of continuous homogeneous polynomials between Banach spaces. Then, injective polynomial ideals are characterized by means of a (typically nonlinear) domination property. Applications of this characterization to some classical ideals, such as finite rank, approximable, compact, weakly compact and completely continuous operators/polynomials, and to composition polynomial ideals are provided. This is a joint work with Leodan A. Torres.