ON A TOPOLOGICAL DIVISOR OF ZERO IN THE CALKIN ALGEBRA

Title & Authors
ON A TOPOLOGICAL DIVISOR OF ZERO IN THE CALKIN ALGEBRA
Lee, Hong-Youl;

Abstract
We give a simple proof of the statement that if T is a bounded linear operator on a complex HIlbert space then T is Fredholm if and only if $\small{{\pi}(T)}$ is not a TDZ, where $\small{{\pi}(\cdot)}$ is the Catkin homomorphism.
Keywords
Fredholm operators;topological divisor of zeros;
Language
English
Cited by
References
1.
R. E. Harte, Invertibility and singularity for bounded linear operators, Dekker, New York, 1988