Operational quantities.
Martinón, Antonio (1997)
Commentationes Mathematicae Universitatis Carolinae
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Martinón, Antonio (1997)
Commentationes Mathematicae Universitatis Carolinae
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Manuel Gonzáles, Antonio Martinón (2006)
Matematički Vesnik
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Gonzáles, Manuel, Martinón, Antonio (2006)
Matematichki Vesnik
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Manuel Gonzalez, Antonio Martinón (1991)
Commentationes Mathematicae Universitatis Carolinae
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We introduce and study some operational quantities associated to a space ideal . These quantities are used to define generalized semi-Fredholm operators associated to , and the corresponding perturbation classes which extend the strictly singular and strictly cosingular operators, and we study the generalized Fredholm theory obtained in this way. Finally we present some examples and show that the classes of generalized semi-Fredholm operators are non-trivial for several classical space...
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.
Manuel González, Antonio Martinón (1993)
Extracta Mathematicae
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M. Schechter, Robert Whitley (1988)
Studia Mathematica
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Manuel González, Antonio Martinón (1991)
Extracta Mathematicae
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Several operational quantities, defined in terms of the norm and the class of finite dimensional Banach spaces, have been used to characterize the classes of upper and lower semi-Fredholm operators, strictly singular and strictly cosingular operators, and to derive some perturbation results. In this paper we shall introduce and study some operational quantities derived from the norm and associated to a space ideal. By means of these quantities we construct a generalized...
Živković, Snežana (1997)
Publications de l'Institut Mathématique. Nouvelle Série
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