Geodesic
Kato decomposition of linear pencils
Dominique Gagnage1
1 Département de Mathématiques Université de Lille I U.M.R., C.N.R.S. 8524 59655 Villeneuve d'Ascq Cedex, France
Studia Mathematica, Tome 154 (2003) no. 2, pp. 99-112

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm154-2-1
Keywords: kato found important property semi fredholm pencils called kato decomposition nbsp nbsp kaashoek nbsp introduced operators having property generalization semi fredholm operators work study class operators characterized kato type decomposition other properties proved

Dominique Gagnage 1

1 Département de Mathématiques Université de Lille I U.M.R., C.N.R.S. 8524 59655 Villeneuve d'Ascq Cedex, France 
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Dominique Gagnage. Kato decomposition of linear pencils. Studia Mathematica, Tome 154 (2003) no. 2, pp. 99-112. doi: 10.4064/sm154-2-1

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