### Operational quantities characterizing semi-Fredholm operators.

Manuel González, Antonio Martinón (1993)

Extracta Mathematicae

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Manuel González, Antonio Martinón (1993)

Extracta Mathematicae

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R.W. Cross (1988)

Mathematische Zeitschrift

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Živković, Snežana (1997)

Publications de l'Institut Mathématique. Nouvelle Série

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Dominique Gagnage (2003)

Studia Mathematica

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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.

Gleason, Jim (2001)

Georgian Mathematical Journal

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Robert Israel (1974)

Studia Mathematica

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R. Mennicken, B. Sagraloff (1980)

Mathematische Annalen

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Jaroslav Zemánek (1984)

Studia Mathematica

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Manuel González, Antonio Martinón (1995)

Studia Mathematica

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Several operational quantities have appeared in the literature characterizing upper semi-Fredholm operators. Here we show that these quantities can be divided into three classes, in such a way that two of them are equivalent if they belong to the same class, and are comparable and not equivalent if they belong to different classes. Moreover, we give a similar classification for operational quantities characterizing lower semi-Fredholm operators.

L. A. Coburn, A. Lebow (1966)

Rendiconti del Seminario Matematico della Università di Padova

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K.-H. Förster, E.-O. Liebetrau (1983)

Manuscripta mathematica

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