Kato decomposition of linear pencils

Dominique Gagnage

Studia Mathematica (2003)

  • Volume: 154, Issue: 2, page 99-112
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Dominique Gagnage. "Kato decomposition of linear pencils." Studia Mathematica 154.2 (2003): 99-112. <http://eudml.org/doc/286356>.

@article{DominiqueGagnage2003,
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.},
author = {Dominique Gagnage},
journal = {Studia Mathematica},
keywords = {semi-Fredholm operator; Kaashoek's property; Kato decomposition},
language = {eng},
number = {2},
pages = {99-112},
title = {Kato decomposition of linear pencils},
url = {http://eudml.org/doc/286356},
volume = {154},
year = {2003},
}

TY - JOUR
AU - Dominique Gagnage
TI - Kato decomposition of linear pencils
JO - Studia Mathematica
PY - 2003
VL - 154
IS - 2
SP - 99
EP - 112
AB - 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.
LA - eng
KW - semi-Fredholm operator; Kaashoek's property; Kato decomposition
UR - http://eudml.org/doc/286356
ER -

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