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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-2-1,
author = {Dominique Gagnage},
title = {Kato decomposition of linear pencils},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {99-112},
zbl = {1040.47007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-2-1}
}
Dominique Gagnage. Kato decomposition of linear pencils. Studia Mathematica, Tome 157 (2003) pp. 99-112. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-2-1/