A simple proof of the Fredholm Alternative

2010/11/12 by Uuye, Otgonbayar
#47A53 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1011.2933

Abstract

In this expository note, we present a simple proof of the Fredholm Alternative for compact operators that are norm limits of finite rank operators. We also prove a Fredholm Alternative for pseudodifferential operators of order < 0.

Related

• A Simple Proof of the Fredholm Alternative and a Characterization of the Fredholm Operators
• About the proof of the Fredholm Alternative theorems
• A simple proof of the Fredholm alternative and a characterization of the Fredholm operators
• A characterization of unbounded Fredholm operators
• Band-Dominated Fredholm Operators and a Question of Rabinovich, Roch and Silbermann