Operators invertible modulo the weakly compact operators

Kung-Wei Yang

Vol. 71 (1977), No. 2, 559–564

DOI: 10.2140/pjm.1977.71.559

Abstract

A continuous linear operator is a Fredholm operator if and only if it is invertible modulo the compact operators. In this note, we will generalize several theorems on Fredholm operators to theorems concerning operators invertible modulo the weakly compact operators.

Mathematical Subject Classification

Primary: 47B30, 47B30

Milestones

Received: 11 February 1976

Revised: 4 February 1977

Published: 1 August 1977