Duality of Integral Operators in Lₚ-Spaces

Authors

Anton Schep, University of South Carolina

Document Type

Lecture

Publication Date

3-27-2009

Abstract

A classical result in functional analysis states that the dual of the compact operators on a Hilbert space are the so-called trace-class operators, and the dual of the trace-class operators (i.e., the second dual of the compact operators) is the space of all bounded operators on the Hilbert space. In this talk, we will discuss two descriptions of the space of regular integral operators on Lₚ-spaces. One of these descriptions will provide an order-theoretic analogue of the aforementioned result for integral operators on Lₚ-spaces.

Relational Format

presentation

Recommended Citation

Schep, Anton, "Duality of Integral Operators in Lₚ-Spaces" (2009). Analysis Seminar. 37.
https://egrove.olemiss.edu/math_analysis/37