Kato decomposition of linear pencils

Volume 154 / 2003

Dominique Gagnage Studia Mathematica 154 (2003), 99-112 MSC: Primary 47A53. DOI: 10.4064/sm154-2-1


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.


  • Dominique GagnageDépartement de Mathématiques
    Université de Lille I
    U.M.R., C.N.R.S. 8524
    59655 Villeneuve d'Ascq Cedex, France

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