Kato decomposition of linear pencils
Volume 154 / 2003
Studia Mathematica 154 (2003), 99-112
MSC: Primary 47A53.
DOI: 10.4064/sm154-2-1
Abstract
T. Kato [5] found an important property of semi-Fredholm pencils, now called the Kato decomposition. M. A. Kaashoek [3] introduced operators having the property $P(S: k)$ as a generalization of semi-Fredholm operators. In this work, we study this class of operators. We show that it is characterized by a Kato-type decomposition. Other properties are also proved.
